Basic Math Examples

4 \sqrt{25} \div \sqrt{4}

$4 \sqrt{25} \div \sqrt{4}$

Step 1

Rewrite the division as a fraction.

\frac{4 \sqrt{25}}{\sqrt{4}}

$\frac{4 \sqrt{25}}{\sqrt{4}}$

Step 2

Simplify the numerator.

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Step 2.1

Rewrite

25

$25$ as

5^{2}

$5^{2}$ .

\frac{4 \sqrt{5^{2}}}{\sqrt{4}}

$\frac{4 \sqrt{5^{2}}}{\sqrt{4}}$

Step 2.2

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

\frac{4 \cdot 5}{\sqrt{4}}

$\frac{4 \cdot 5}{\sqrt{4}}$

\frac{4 \cdot 5}{\sqrt{4}}

$\frac{4 \cdot 5}{\sqrt{4}}$

Step 3

Simplify the denominator.

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Step 3.1

Rewrite

4

$4$ as

2^{2}

$2^{2}$ .

\frac{4 \cdot 5}{\sqrt{2^{2}}}

$\frac{4 \cdot 5}{\sqrt{2^{2}}}$

Step 3.2

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

\frac{4 \cdot 5}{2}

$\frac{4 \cdot 5}{2}$

\frac{4 \cdot 5}{2}

$\frac{4 \cdot 5}{2}$

Step 4

Simplify the expression.

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Step 4.1

Multiply

4

$4$ by

5

$5$ .

\frac{20}{2}

$\frac{20}{2}$

Step 4.2

Divide

20

$20$ by

2

$2$ .

10

$10$

10

$10$