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Popular >

simplify 1/(sqrt(27))

Solution

simplify

\frac{1}{27}

Solution

\frac{1}{3 3}

+1

Decimal Notation

0.19245 \dots

Solution steps

\frac{1}{27}

Prime factorization of

27 : 3^{3}

= \frac{1}{3 ^{3}}

Apply exponent rule:

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

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

= \frac{1}{3 ^{2} \cdot 3}

Apply radical rule:

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

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

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

Apply radical rule:

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

3^{2} = 3

= \frac{1}{3 3}

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Frequently Asked Questions (FAQ)

What is 1/(sqrt(27)) ?
The solution to 1/(sqrt(27)) is 1/(3sqrt(3))