Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
68101	Simplify	-2/( square root of x-5)	$\frac{- 2}{\sqrt{x} - 5}$
68102	Simplify	2/( square root of 6)	$\frac{2}{\sqrt{6}}$
68103	Simplify	2/( square root of x)	$\frac{2}{\sqrt{x}}$
68104	Simplify	20/(20z^-5)	$\frac{20}{20 z^{- 5}}$
68105	Evaluate Using the Given Value	f(-5)=-5	$f (- 5) = - 5$
68106	Simplify	(2x^2-5x-3)/(4x^3+2x^2+2x+1)	$\frac{2 x^{2} - 5 x - 3}{4 x^{3} + 2 x^{2} + 2 x + 1}$
68107	Simplify	(2 square root of x* square root of x^3)/( square root of 9x^10)	$\frac{2 \sqrt{x} \cdot \sqrt{x^{3}}}{\sqrt{9 x^{10}}}$
68108	Evaluate Using the Given Value	f(-2)=(8/3)^-2	$f (- 2) = {(\frac{8}{3})}^{- 2}$
68109	Simplify	(2k^2-k-15)/(k^2-9)	$\frac{2 k^{2} - k - 15}{k^{2} - 9}$
68110	Evaluate Using the Given Value	f(5) = square root of 5-4	$f (5) = \sqrt{5 - 4}$
68111	Subtract	a/(a^2-36)-6/(a^2-36)	$\frac{a}{a^{2} - 36} - \frac{6}{a^{2} - 36}$
68112	Simplify	square root of 36a^4b	$\sqrt{36 a^{4} b}$
68113	Evaluate Using the Given Value	f(0)=5	$f (0) = 5$
68114	Simplify	square root of 32x^2y	$\sqrt{32 x^{2} y}$
68115	Evaluate Using the Given Value	f(1)=4/1	$f (1) = \frac{4}{1}$
68116	Simplify	square root of 28n^2	$\sqrt{28 n^{2}}$
68117	Simplify	square root of 27y^4	$\sqrt{27 y^{4}}$
68118	Evaluate Using the Given Value	f(-2)=e^-2	$f (- 2) = e^{- 2}$
68119	Simplify	square root of 27y^6	$\sqrt{27 y^{6}}$
68120	Simplify	square root of 27x^4	$\sqrt{27 x^{4}}$
68121	Evaluate Using the Given Value	f(7)=5 square root of 3(7)	$f (7) = 5 \sqrt{3 (7)}$
68122	Simplify	square root of 28x^2y	$\sqrt{28 x^{2} y}$
68123	Simplify	square root of 28x^5	$\sqrt{28 x^{5}}$
68124	Simplify	square root of 25x^20y^14	$\sqrt{25 x^{20} y^{14}}$
68125	Evaluate Using the Given Value	f(-5)=(-5)^3+3(-5)^2-9*-5-13	$f (- 5) = {(- 5)}^{3} + 3 {(- 5)}^{2} - 9 \cdot - 5 - 13$
68126	Simplify	square root of 25a^2b^3	$\sqrt{25 a^{2} b^{3}}$
68127	Evaluate Using the Given Value	300x=160.5x+69 , 750	$300 x = 160.5 x + 69$ , $750$
68128	Simplify	square root of 243x^2	$\sqrt{243 x^{2}}$
68129	Evaluate Using the Given Value	f(2)=3(2)+2	$f (2) = 3 (2) + 2$
68130	Simplify	square root of 24x^4	$\sqrt{24 x^{4}}$
68131	Evaluate Using the Given Value	y^-3-y^-2 , y=2	$y^{- 3} - y^{- 2}$ , $y = 2$
68132	Simplify	square root of 150x^3	$\sqrt{150 x^{3}}$
68133	Simplify	square root of 16r^4s^5	$\sqrt{16 r^{4} s^{5}}$
68134	Evaluate Using the Given Value	g(1)=1	$g (1) = 1$
68135	Simplify	square root of 16x^2y^2	$\sqrt{16 x^{2} y^{2}}$
68136	Simplify	square root of 144p^6	$\sqrt{144 p^{6}}$
68137	Simplify	square root of z^24	$\sqrt{z^{24}}$
68138	Simplify	square root of z^30	$\sqrt{z^{30}}$
68139	Simplify	square root of y^16	$\sqrt{y^{16}}$
68140	Evaluate Using the Given Value	f(-9)=-(-9)^2-10*-9-2	$f (- 9) = - {(- 9)}^{2} - 10 \cdot - 9 - 2$
68141	Simplify	square root of y^21	$\sqrt{y^{21}}$
68142	Evaluate Using the Given Value	f(0)=5(0)^2+3(0)	$f (0) = 5 {(0)}^{2} + 3 (0)$
68143	Simplify	square root of y^36	$\sqrt{y^{36}}$
68144	Evaluate Using the Given Value	f(8)=0	$f (8) = 0$
68145	Evaluate Using the Given Value	f(8) = square root of 8+1	$f (8) = \sqrt{8 + 1}$
68146	Simplify	square root of -100a^4b^2	$\sqrt{- 100 a^{4} b^{2}}$
68147	Simplify	square root of 100n^3	$\sqrt{100 n^{3}}$
68148	Evaluate Using the Given Value	f(0)=8^0	$f (0) = 8^{0}$
68149	Evaluate Using the Given Value	f(3)=7/(3-1)	$f (3) = \frac{7}{3 - 1}$
68150	Simplify	square root of (-7c)^2	$\sqrt{{(- 7 c)}^{2}}$
68151	Simplify	square root of (162a)/(6a^3)	$\sqrt{\frac{162 a}{6 a^{3}}}$
68152	Evaluate Using the Given Value	x = plus or minus (2 square root of 10)/11	$x = \pm \frac{2 \sqrt{10}}{11}$
68153	Simplify	square root of (x^2)/(49y^2)	$\sqrt{\frac{x^{2}}{49 y^{2}}}$
68154	Simplify	square root of (x^4)/(y^6)	$\sqrt{\frac{x^{4}}{y^{6}}}$
68155	Simplify	square root of 7/4	$\sqrt{\frac{7}{4}}$
68156	Evaluate Using the Given Value	f(1/2)=3^(1/2)	$f (\frac{1}{2}) = 3^{\frac{1}{2}}$
68157	Simplify	square root of 5/64	$\sqrt{\frac{5}{64}}$
68158	Evaluate Using the Given Value	f(-2)=(-2)^2+4(-2)-5	$f (- 2) = {(- 2)}^{2} + 4 (- 2) - 5$
68159	Simplify	square root of 50/2	$\sqrt{\frac{50}{2}}$
68160	Simplify	square root of -75x^9	$\sqrt{- 75 x^{9}}$
68161	Simplify	square root of 3/25	$\sqrt{\frac{3}{25}}$
68162	Evaluate Using the Given Value	f(2)=2(2)+1	$f (2) = 2 (2) + 1$
68163	Simplify	square root of a^2b^5	$\sqrt{a^{2} b^{5}}$
68164	Simplify	square root of 9/y	$\sqrt{\frac{9}{y}}$
68165	Evaluate Using the Given Value	log base 4 of x+ log base 4 of x+6=2	$\log_{4} (x) + \log_{4} (x + 6) = 2$
68166	Simplify	square root of x^6y^4	$\sqrt{x^{6} y^{4}}$
68167	Simplify	square root of x^6y^12	$\sqrt{x^{6} y^{12}}$
68168	Evaluate Using the Given Value	f(2)=12	$f (2) = 12$
68169	Simplify	square root of x^38	$\sqrt{x^{38}}$
68170	Simplify	square root of x^18y^39	$\sqrt{x^{18} y^{39}}$
68171	Simplify	square root of x^2+16x+64	$\sqrt{x^{2} + 16 x + 64}$
68172	Evaluate Using the Given Value	f(25) = square root of 25-9	$f (25) = \sqrt{25 - 9}$
68173	Evaluate Using the Given Value	f(-2)=24	$f (- 2) = 24$
68174	Simplify	square root of u^21	$\sqrt{u^{21}}$
68175	Simplify	square root of seventh root of x	$\sqrt{\sqrt[7]{x}}$
68176	Simplify	square root of x/y	$\sqrt{\frac{x}{y}}$
68177	Divide Using Synthetic Division	(x^4+15x^3-77x^2+13x-36)/(x-4)	$\frac{x^{4} + 15 x^{3} - 77 x^{2} + 13 x - 36}{x - 4}$
68178	Divide Using Synthetic Division	(x^3-4x^2+6x-4)/(x-2)	$\frac{x^{3} - 4 x^{2} + 6 x - 4}{x - 2}$
68179	Evaluate Using the Given Value	f(0)=5(0)+3	$f (0) = 5 (0) + 3$
68180	Evaluate Using the Given Value	f(81) = square root of 81	$f (81) = \sqrt{81}$
68181	Find the Domain	(x+5)/(x^2+x+12)	$\frac{x + 5}{x^{2} + x + 12}$
68182	Simplify	18 root of y^18	$\sqrt[18]{y^{18}}$
68183	Simplify	15 root of x^12	$\sqrt[15]{x^{12}}$
68184	Evaluate Using the Given Value	f(-2)=24/(3(-2)-2)	$f (- 2) = \frac{24}{3 (- 2) - 2}$
68185	Simplify	12 root of x^12	$\sqrt[12]{x^{12}}$
68186	Evaluate Using the Given Value	f(-3)=4(-3)+4	$f (- 3) = 4 (- 3) + 4$
68187	Evaluate Using the Given Value	f(1/2)=-6(1/2)+4	$f (\frac{1}{2}) = - 6 (\frac{1}{2}) + 4$
68188	Simplify	square root of 96x	$\sqrt{96 x}$
68189	Simplify	square root of 98a^11	$\sqrt{98 a^{11}}$
68190	Find Any Equation Perpendicular to the Line	y=-8x+3	$y = - 8 x + 3$
68191	Simplify	square root of x fifth root of x	$\sqrt{x} \sqrt[5]{x}$
68192	Find Any Equation Perpendicular to the Line	y-5=6(x-7)	$y - 5 = 6 (x - 7)$
68193	Simplify	square root of x ninth root of x	$\sqrt{x} \sqrt[9]{x}$
68194	Find Any Equation Perpendicular to the Line	10x-11y=1	$10 x - 11 y = 1$
68195	Simplify	square root of x-10	$\sqrt{x - 10}$
68196	Find Any Equation Perpendicular to the Line	2x-3y-9=0	$2 x - 3 y - 9 = 0$
68197	Simplify	square root of x+8	$\sqrt{x + 8}$
68198	Find Any Equation Perpendicular to the Line	y-4=3(x+2)	$y - 4 = 3 (x + 2)$
68199	Simplify	square root of 81x^12	$\sqrt{81 x^{12}}$
68200	Find Any Equation Perpendicular to the Line	2y=5x-4	$2 y = 5 x - 4$