What is 9sqrt(56x^7y^{12)} ?

The solution to 9sqrt(56x^7y^{12)} is 18sqrt(14)x^3y^6sqrt(x)

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simplify 9sqrt(56x^7y^{12)}

simplify

9 56 x^{7} y^{12}

1814 x^{3} y^{6} x

Solution steps

9 56 x^{7} y^{12}

Apply radical rule:

ab = a b,

assuming

a \geq 0, b \geq 0

56 x^{7} y^{12} = 56 x^{7} y^{12}

= 956 x^{7} y^{12}

Apply radical rule:

ab = a b,

assuming

a \geq 0, b \geq 0

x^{7} y^{12} = x^{7} y^{12}

= 956 x^{7} y^{12}

56 = 214

= 9 \cdot 214 x^{7} y^{12}

Simplify

x^{7} : x^{3} x

= 9 \cdot 214 x^{3} x y^{12}

Simplify

y^{12} : y^{6}

= 9 \cdot 214 x^{3} x y^{6}

Multiply the numbers:

9 \cdot 2 = 18

= 1814 x^{3} x y^{6}

= 1814 x^{3} y^{6} x

(1 - x) (1 - y)

7 - 3 + 6 + x

43 \times 26

2.4 \times 1 0^{- 2}

What is 9sqrt(56x^7y^{12)} ?
The solution to 9sqrt(56x^7y^{12)} is 18sqrt(14)x^3y^6sqrt(x)