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Popular >

simplify 2sqrt(128)

Solution

simplify

2128

Solution

162

+1

Decimal Notation

22.62741 \dots

Solution steps

2128

Prime factorization of

128 : 2^{7}

= 2 2^{7}

Apply exponent rule:

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

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

= 2 2^{6} \cdot 2

Apply radical rule:

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

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

= 2 2^{6} 2

2^{6} = 8

= 2 \cdot 82

Multiply the numbers:

2 \cdot 8 = 16

= 162

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Frequently Asked Questions (FAQ)

What is 2sqrt(128) ?
The solution to 2sqrt(128) is 16sqrt(2)