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Popular >

simplify 3sqrt(128)

Solution

simplify

3128

Solution

242

+1

Decimal Notation

33.94112 \dots

Solution steps

3128

Prime factorization of

128 : 2^{7}

= 3 2^{7}

Apply exponent rule:

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

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

= 3 2^{6} \cdot 2

Apply radical rule:

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

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

= 3 2^{6} 2

2^{6} = 8

= 3 \cdot 82

Multiply the numbers:

3 \cdot 8 = 24

= 242

Popular Examples

-(5x)/4-3/2 =-1/2

- \frac{5 x}{4} - \frac{3}{2} = - \frac{1}{2}

4 < 6 + x

4 x + 0.15 = x

factor t^2-9 factor

t^{2} - 9

\frac{v}{7} = \frac{8}{13}

Frequently Asked Questions (FAQ)

What is 3sqrt(128) ?
The solution to 3sqrt(128) is 24sqrt(2)