Algebra Examples

$\sqrt{98 x^{4} y^{2}} - 3 x^{2} y \sqrt{2}$

Step 1

Simplify each term.

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Step 1.1

Rewrite $98 x^{4} y^{2}$ as ${(7 x^{2} y)}^{2} \cdot 2$ .

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Step 1.1.1

Factor $49$ out of $98$ .

$\sqrt{49 (2) x^{4} y^{2}} - 3 x^{2} y \sqrt{2}$

Step 1.1.2

Rewrite $49$ as $7^{2}$ .

$\sqrt{7^{2} \cdot 2 x^{4} y^{2}} - 3 x^{2} y \sqrt{2}$

Step 1.1.3

Rewrite $x^{4}$ as ${(x^{2})}^{2}$ .

$\sqrt{7^{2} \cdot 2 {(x^{2})}^{2} y^{2}} - 3 x^{2} y \sqrt{2}$

Step 1.1.4

Move $2$ .

$\sqrt{7^{2} {(x^{2})}^{2} y^{2} \cdot 2} - 3 x^{2} y \sqrt{2}$

Step 1.1.5

Rewrite $7^{2} {(x^{2})}^{2} y^{2}$ as ${(7 x^{2} y)}^{2}$ .

$\sqrt{{(7 x^{2} y)}^{2} \cdot 2} - 3 x^{2} y \sqrt{2}$

Step 1.2

Pull terms out from under the radical.

$7 x^{2} y \sqrt{2} - 3 x^{2} y \sqrt{2}$

Step 2

Subtract $3 x^{2} y \sqrt{2}$ from $7 x^{2} y \sqrt{2}$ .

$4 x^{2} y \sqrt{2}$