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Popular >

simplify-sqrt(108)

Solution

simplify

- 108

Solution

- 63

+1

Decimal Notation

- 10.39230 \dots

Solution steps

- 108

Prime factorization of

108 : 2^{2} \cdot 3^{3}

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

Apply exponent rule:

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

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

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

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

= - 2^{2} 3^{2} 3

Apply radical rule:

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

2^{2} = 2

= - 2 3^{2} 3

Apply radical rule:

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

3^{2} = 3

= - 2 \cdot 33

Multiply the numbers:

2 \cdot 3 = 6

= - 63

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Frequently Asked Questions (FAQ)

What is simplify-sqrt(108) ?
The solution to simplify-sqrt(108) is -6sqrt(3)