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Popular >

simplify 6sqrt(32)

Solution

simplify

632

Solution

242

+1

Decimal Notation

33.94112 \dots

Solution steps

632

Prime factorization of

32 : 2^{5}

= 6 2^{5}

Apply exponent rule:

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

2^{5} = 2^{4} \cdot 2

= 6 2^{4} \cdot 2

Apply radical rule:

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

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

= 6 2^{4} 2

2^{4} = 4

= 6 \cdot 42

Multiply the numbers:

6 \cdot 4 = 24

= 242

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Frequently Asked Questions (FAQ)

What is 6sqrt(32) ?
The solution to 6sqrt(32) is 24sqrt(2)