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Popular >

simplify 3/4 sqrt(27)

Solution

simplify

\frac{3}{4} 27

Solution

\frac{9}{4} 3

+1

Decimal Notation

3.89711 \dots

Solution steps

\frac{3}{4} 27

Prime factorization of

27 : 3^{3}

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

Apply exponent rule:

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

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

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

Apply radical rule:

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

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

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

Apply radical rule:

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

3^{2} = 3

= \frac{3}{4} \cdot 33

\frac{3}{4} \cdot 33 = \frac{9}{4} 3

= \frac{9}{4} 3

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Frequently Asked Questions (FAQ)

What is 3/4 sqrt(27) ?
The solution to 3/4 sqrt(27) is 9/4 sqrt(3)