What is simplify-4sqrt(32) ?

The solution to simplify-4sqrt(32) is -16sqrt(2)

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simplify-4sqrt(32)

simplify

- 432

- 162

Decimal Notation

- 22.62741 \dots

Solution steps

- 432

Prime factorization of

32 : 2^{5}

= - 4 2^{5}

Apply exponent rule:

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

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

= - 4 2^{4} \cdot 2

Apply radical rule:

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

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

= - 4 2^{4} 2

2^{4} = 4

= - 4 \cdot 42

Multiply the numbers:

- 4 \cdot 4 = - 16

= - 162

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