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Popular >

simplify 1/(sqrt(45))

Solution

simplify

\frac{1}{45}

Solution

\frac{1}{3 5}

+1

Solution steps

\frac{1}{45}

Prime factorization of

45 : 3^{2} \cdot 5

= \frac{1}{3 ^{2} \cdot 5}

Apply radical rule:

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

3^{2} \cdot 5 = 3^{2} 5

= \frac{1}{3 ^{2} 5}

Apply radical rule:

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

3^{2} = 3

= \frac{1}{3 5}

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Frequently Asked Questions (FAQ)

What is 1/(sqrt(45)) ?
The solution to 1/(sqrt(45)) is 1/(3sqrt(5))