Precalculus Examples

$\sqrt{\frac{2 (9.81) x}{(1.126) (523) (0.41)}}$

Step 1

Multiply $2$ by $9.81$ .

$\sqrt{\frac{19.62 x}{(1.126) (523) \cdot 0.41}}$

Step 2

Simplify the denominator.

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Step 2.1

Multiply $1.126$ by $523$ .

$\sqrt{\frac{19.62 x}{588.898 \cdot 0.41}}$

Step 2.2

Multiply $588.898$ by $0.41$ .

$\sqrt{\frac{19.62 x}{241.44818}}$

Step 3

Simplify with factoring out.

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Step 3.1

Factor $19.62$ out of $19.62 x$ .

$\sqrt{\frac{19.62 (x)}{241.44818}}$

Step 3.2

Factor $241.44818$ out of $241.44818$ .

$\sqrt{\frac{19.62 (x)}{241.44818 (1)}}$

Step 4

Separate fractions.

$\sqrt{\frac{19.62}{241.44818} \cdot \frac{x}{1}}$

Step 5

Divide $19.62$ by $241.44818$ .

$\sqrt{0.08125967 \frac{x}{1}}$

Step 6

Divide $x$ by $1$ .

$\sqrt{0.08125967 x}$

Step 7

Rewrite $0.08125967 x$ as ${({0.53391087}^{2})}^{2} x$ .

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Step 7.1

Rewrite $0.08125967$ as ${0.28506082}^{2}$ .

$\sqrt{{0.28506082}^{2} x}$

Step 7.2

Rewrite $0.28506082$ as ${0.53391087}^{2}$ .

$\sqrt{{({0.53391087}^{2})}^{2} x}$

Step 8

Pull terms out from under the radical.

${0.53391087}^{2} \sqrt{x}$

Step 9

Raise $0.53391087$ to the power of $2$ .

$0.28506082 \sqrt{x}$