en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 5sqrt(128)

Solution

simplify

5128

Solution

402

+1

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

Popular Examples

simplify 5sqrt(-147)simplify

5 - 147

simplify \sqrt[5]{160t^{16}w^{10}}simplify

simplify 4\times 10^{-2}simplify

4 \times 1 0^{- 2}

simplify log_{32}(16)simplify

lo g_{32} (16)

factor-2x^2-15 factor

- 2 x^{2} - 15

Frequently Asked Questions (FAQ)

What is 5sqrt(128) ?
The solution to 5sqrt(128) is 40sqrt(2)