Algebra Examples

$\sqrt{\frac{121 x^{3}}{49 x}}$

Step 1

Reduce the expression $\frac{121 x^{3}}{49 x}$ by cancelling the common factors.

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Step 1.1

Factor $x$ out of $121 x^{3}$ .

$\sqrt{\frac{x (121 x^{2})}{49 x}}$

Step 1.2

Factor $x$ out of $49 x$ .

$\sqrt{\frac{x (121 x^{2})}{x \cdot 49}}$

Step 1.3

Cancel the common factor.

$\sqrt{\frac{x (121 x^{2})}{x \cdot 49}}$

Step 1.4

Rewrite the expression.

$\sqrt{\frac{121 x^{2}}{49}}$

Step 2

Rewrite $121 x^{2}$ as ${(11 x)}^{2}$ .

$\sqrt{\frac{{(11 x)}^{2}}{49}}$

Step 3

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

$\sqrt{\frac{{(11 x)}^{2}}{7^{2}}}$

Step 4

Rewrite $\frac{{(11 x)}^{2}}{7^{2}}$ as ${(\frac{11 x}{7})}^{2}$ .

$\sqrt{{(\frac{11 x}{7})}^{2}}$

Step 5

Pull terms out from under the radical, assuming positive real numbers.

$\frac{11 x}{7}$