What is simplify sqrt(72)x^3 ?

The solution to simplify sqrt(72)x^3 is 6sqrt(2)x^3

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Simplify square root of 72x^3

simplify

72 x^{3}

62 x^{3}

Solution steps

72 x^{3}

Prime factorization of

72 : 2^{3} \cdot 3^{2}

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

Apply exponent rule:

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

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

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

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

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

Apply radical rule:

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

2^{2} = 2

= 22 3^{2} x^{3}

Apply radical rule:

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

3^{2} = 3

= 22 \cdot 3 x^{3}

Multiply the numbers:

2 \cdot 3 = 6

= 62 x^{3}

\frac{100}{( 70% )}

(6) (- 5)

x^{2} - 12 x - 32

\frac{64}{9}

\frac{29}{4}

What is simplify sqrt(72)x^3 ?
The solution to simplify sqrt(72)x^3 is 6sqrt(2)x^3