What is simplify-5sqrt(128) ?

The solution to simplify-5sqrt(128) is -40sqrt(2)

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simplify-5sqrt(128)

simplify

- 5128

- 402

Decimal Notation

- 56.56854 \dots

Solution steps

- 5128

Prime factorization of

128 : 2^{7}

= - 5 2^{7}

Apply exponent rule:

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

2^{7} = 2^{6} \cdot 2

= - 5 2^{6} \cdot 2

Apply radical rule:

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

2^{6} \cdot 2 = 2^{6} 2

= - 5 2^{6} 2

2^{6} = 8

= - 5 \cdot 82

Multiply the numbers:

- 5 \cdot 8 = - 40

= - 402

(3 - 4 i) (1 - 2 i)

53 \div \frac{1}{3}

\frac{1}{4} + 8

\frac{1}{8} + 8

x^{2} - \frac{x ^{2}}{4}