What is simplify-3sqrt(32) ?

The solution to simplify-3sqrt(32) is -12sqrt(2)

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simplify-3sqrt(32)

simplify

- 332

- 122

Decimal Notation

- 16.97056 \dots

Solution steps

- 332

Prime factorization of

32 : 2^{5}

= - 3 2^{5}

Apply exponent rule:

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

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

= - 3 2^{4} \cdot 2

Apply radical rule:

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

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

= - 3 2^{4} 2

2^{4} = 4

= - 3 \cdot 42

Multiply the numbers:

- 3 \cdot 4 = - 12

= - 122

\frac{1}{10} \div \frac{4}{7}

(- 6 x)^{- 2} \cdot x^{3}

2 \frac{7}{15}

- 2 - \frac{9}{2}

10 \cdot 25