What is simplify-5sqrt(32) ?

The solution to simplify-5sqrt(32) is -20sqrt(2)

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simplify-5sqrt(32)

simplify

- 532

- 202

Decimal Notation

- 28.28427 \dots

Solution steps

- 532

Prime factorization of

32 : 2^{5}

= - 5 2^{5}

Apply exponent rule:

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

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

= - 5 2^{4} \cdot 2

Apply radical rule:

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

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

= - 5 2^{4} 2

2^{4} = 4

= - 5 \cdot 42

Multiply the numbers:

- 5 \cdot 4 = - 20

= - 202

- \frac{1}{2} + 0

- 22.87 2^{2} + 2 (- 22.872) + 1

- 3 x^{2} + 3 x^{2}

5 x - 6 - 8 + 7 x

6.37 \cdot 1 0^{6}