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Popular >

simplify 8sqrt(32)

Solution

simplify

832

Solution

322

+1

Decimal Notation

45.25483 \dots

Solution steps

832

Prime factorization of

32 : 2^{5}

= 8 2^{5}

Apply exponent rule:

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

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

= 8 2^{4} \cdot 2

Apply radical rule:

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

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

= 8 2^{4} 2

2^{4} = 4

= 8 \cdot 42

Multiply the numbers:

8 \cdot 4 = 32

= 322

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Frequently Asked Questions (FAQ)

What is 8sqrt(32) ?
The solution to 8sqrt(32) is 32sqrt(2)