Algebra Examples

$(\sqrt{5}) (\sqrt{5}) = x$

Step 1

Rewrite the equation as $x = \sqrt{5} \sqrt{5}$ .

$x = \sqrt{5} \sqrt{5}$

Step 2

Simplify $\sqrt{5} \sqrt{5}$ .

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Step 2.1

Combine using the product rule for radicals.

$x = \sqrt{5 \cdot 5}$

Step 2.2

Write the expression using exponents.

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Step 2.2.1

Multiply $5$ by $5$ .

$x = \sqrt{25}$

Step 2.2.2

Rewrite $25$ as $5^{2}$ .

$x = \sqrt{5^{2}}$

Step 2.3

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

$x = 5$