What is simplify sqrt(108)x^2 ?

The solution to simplify sqrt(108)x^2 is 6sqrt(3)x^2

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Simplify square root of 108x^2

simplify

108 x^{2}

63 x^{2}

Solution steps

108 x^{2}

Prime factorization of

108 : 2^{2} \cdot 3^{3}

= 2^{2} \cdot 3^{3} x^{2}

Apply exponent rule:

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

2^{2} \cdot 3^{3} = 2^{2} \cdot 3^{2} \cdot 3

= 2^{2} \cdot 3^{2} \cdot 3 x^{2}

2^{2} \cdot 3^{2} \cdot 3 = 2^{2} 3^{2} 3

= 2^{2} 3^{2} 3 x^{2}

Apply radical rule:

a^{2} = a, a \geq 0

2^{2} = 2

= 2 3^{2} 3 x^{2}

Apply radical rule:

a^{2} = a, a \geq 0

3^{2} = 3

= 2 \cdot 33 x^{2}

Multiply the numbers:

2 \cdot 3 = 6

= 63 x^{2}

150/25

tan (\frac{π}{4} + x)

x = \frac{π}{9}

71%

\frac{36}{64}

What is simplify sqrt(108)x^2 ?
The solution to simplify sqrt(108)x^2 is 6sqrt(3)x^2