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Popular >

simplify 12sqrt(8)

Solution

simplify

128

Solution

242

+1

Decimal Notation

33.94112 \dots

Solution steps

128

Prime factorization of

8 : 2^{3}

= 12 2^{3}

Apply exponent rule:

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

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

= 12 2^{2} \cdot 2

Apply radical rule:

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

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

= 12 2^{2} 2

Apply radical rule:

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

2^{2} = 2

= 12 \cdot 22

Multiply the numbers:

12 \cdot 2 = 24

= 242

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Frequently Asked Questions (FAQ)

What is 12sqrt(8) ?
The solution to 12sqrt(8) is 24sqrt(2)