What is simplify sqrt(128)x^2 ?

The solution to simplify sqrt(128)x^2 is 8sqrt(2)x^2

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Simplify square root of 128x^2

simplify

128 x^{2}

82 x^{2}

Solution steps

128 x^{2}

Prime factorization of

128 : 2^{7}

= 2^{7} x^{2}

Apply exponent rule:

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

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

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

Apply radical rule:

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

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

= 2^{6} 2 x^{2}

2^{6} = 8

= 82 x^{2}

x, 3 x = 24

\frac{27}{48}

- 38

x^{2} = 4 x - 4

2 x^{2} - x - 2 = 0

What is simplify sqrt(128)x^2 ?
The solution to simplify sqrt(128)x^2 is 8sqrt(2)x^2