What is simplify sqrt(27)x^2 ?

The solution to simplify sqrt(27)x^2 is 3sqrt(3)x^2

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Simplify square root of 27x^2

simplify

27 x^{2}

33 x^{2}

Solution steps

27 x^{2}

Prime factorization of

27 : 3^{3}

= 3^{3} x^{2}

Apply exponent rule:

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

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

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

Apply radical rule:

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

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

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

Apply radical rule:

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

3^{2} = 3

= 33 x^{2}

x, 3 x = 8

- 4 - \frac{3}{4}

- 28 - 14

x^{2} - 4 x = 3

4003

What is simplify sqrt(27)x^2 ?
The solution to simplify sqrt(27)x^2 is 3sqrt(3)x^2