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Popular >

square root of 27/4

Solution

simplify

\frac{27}{4}

Solution

\frac{3 3}{4}

+1

Decimal Notation

1.29903 \dots

Solution steps

\frac{27}{4}

Prime factorization of

27 : 3^{3}

= \frac{3 ^{3}}{4}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

3^{3} = 3^{2} \cdot 3

= \frac{3 ^{2} \cdot 3}{4}

Apply radical rule:

ab = a b, a \geq 0, b \geq 0

3^{2} \cdot 3 = 3^{2} 3

= \frac{3 ^{2} 3}{4}

Apply radical rule:

a^{2} = a, a \geq 0

3^{2} = 3

= \frac{3 3}{4}

Popular Examples

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x, 7 x = 63

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Solve for x 9x=0 solve for

x, 9 x = 0

Frequently Asked Questions (FAQ)

What is simplify (sqrt(27))/4 ?
The solution to simplify (sqrt(27))/4 is (3sqrt(3))/4