Basic Math Examples

\frac{1}{2} \cdot ((\sqrt{74}) (\sqrt{74}))

$\frac{1}{2} \cdot ((\sqrt{74}) (\sqrt{74}))$

Step 1

Combine using the product rule for radicals.

\frac{1}{2} \cdot \sqrt{74 \cdot 74}

$\frac{1}{2} \cdot \sqrt{74 \cdot 74}$

Step 2

Write the expression using exponents.

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Step 2.1

Multiply

74

$74$ by

74

$74$ .

\frac{1}{2} \cdot \sqrt{5476}

$\frac{1}{2} \cdot \sqrt{5476}$

Step 2.2

Rewrite

5476

$5476$ as

74^{2}

$74^{2}$ .

\frac{1}{2} \cdot \sqrt{74^{2}}

$\frac{1}{2} \cdot \sqrt{74^{2}}$

Step 2.3

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

\frac{1}{2} \cdot 74

$\frac{1}{2} \cdot 74$

\frac{1}{2} \cdot 74

$\frac{1}{2} \cdot 74$

Step 3

Cancel the common factor of

2

$2$ .

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Step 3.1

Factor

2

$2$ out of

74

$74$ .

\frac{1}{2} \cdot (2 (37))

$\frac{1}{2} \cdot (2 (37))$

Step 3.2

Cancel the common factor.

$\frac{1}{2} \cdot (2 \cdot 37)$

Step 3.3

Rewrite the expression.

$37$