Basic Math Examples

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

Step 1

Rewrite the division as a fraction.

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

Step 2

Simplify the numerator.

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Step 2.1

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

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

Step 2.2

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

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

Step 3

Simplify the denominator.

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Step 3.1

Rewrite $4$ as $2^{2}$ .

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

Step 3.2

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

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

Step 4

Simplify the expression.

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Step 4.1

Multiply $4$ by $5$ .

$\frac{20}{2}$

Step 4.2

Divide $20$ by $2$ .

$10$