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Popular >

simplify 5sqrt(128)

Solution

simplify

5128

Solution

402

+1

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

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Frequently Asked Questions (FAQ)

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