What is sqrt(54)x^6y^{11} ?

The solution to sqrt(54)x^6y^{11} is 3sqrt(6)x^6y^{11}

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simplify sqrt(54)x^6y^{11}

simplify

54 x^{6} y^{11}

36 x^{6} y^{11}

Solution steps

54 x^{6} y^{11}

Prime factorization of

54 : 2 \cdot 3^{3}

= 2 \cdot 3^{3} x^{6} y^{11}

Apply exponent rule:

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

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

= 2 \cdot 3^{2} \cdot 3 x^{6} y^{11}

Apply radical rule:

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

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

= 3^{2} 2 \cdot 3 x^{6} y^{11}

Apply radical rule:

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

3^{2} = 3

= 3 2 \cdot 3 x^{6} y^{11}

Multiply the numbers:

2 \cdot 3 = 6

= 36 x^{6} y^{11}

\frac{56}{( - 7 )}

\frac{2}{9} + \frac{5}{6}

4 \frac{7}{12}

- 6 a - 9 b - 3 c

What is sqrt(54)x^6y^{11} ?
The solution to sqrt(54)x^6y^{11} is 3sqrt(6)x^6y^{11}