Algebra Examples

$\sqrt{\frac{79 a^{2} b^{2}}{9 a^{2} b^{2}}}$

Step 1

Reduce the expression $\frac{79 a^{2} b^{2}}{9 a^{2} b^{2}}$ by cancelling the common factors.

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Step 1.1

Cancel the common factor.

$\sqrt{\frac{79 a^{2} b^{2}}{9 a^{2} b^{2}}}$

Step 1.2

Rewrite the expression.

$\sqrt{\frac{79 b^{2}}{9 b^{2}}}$

Step 2

Cancel the common factor of $b^{2}$ .

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Step 2.1

Cancel the common factor.

$\sqrt{\frac{79 b^{2}}{9 b^{2}}}$

Step 2.2

Rewrite the expression.

$\sqrt{\frac{79}{9}}$

Step 3

Rewrite $\sqrt{\frac{79}{9}}$ as $\frac{\sqrt{79}}{\sqrt{9}}$ .

$\frac{\sqrt{79}}{\sqrt{9}}$

Step 4

Simplify the denominator.

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Step 4.1

Rewrite $9$ as $3^{2}$ .

$\frac{\sqrt{79}}{\sqrt{3^{2}}}$

Step 4.2

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

$\frac{\sqrt{79}}{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{\sqrt{79}}{3}$

Decimal Form:

$2.96273147 \dots$