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Popular >

simplify (1/2 sqrt(3))^2

Solution

simplify

(\frac{1}{2} 3)^{2}

Solution

\frac{3}{4}

+1

Decimal Notation

0.75

Solution steps

(\frac{1}{2} 3)^{2}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(\frac{1}{2} 3)^{2} = (\frac{1}{2})^{2} (3)^{2}

= (\frac{1}{2})^{2} (3)^{2}

(\frac{1}{2})^{2} = \frac{1}{4}

= \frac{1}{4} (3)^{2}

(3)^{2} = 3

= 3 \cdot \frac{1}{4}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot 3}{4}

Multiply the numbers:

1 \cdot 3 = 3

= \frac{3}{4}

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3 \frac{1}{2} + 7 \frac{1}{3}

Frequently Asked Questions (FAQ)

What is (1/2 sqrt(3))^2 ?
The solution to (1/2 sqrt(3))^2 is 3/4