What is 7sqrt(63x^7y^5) ?

The solution to 7sqrt(63x^7y^5) is 21sqrt(7)x^3y^2sqrt(x)sqrt(y)

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simplify 7sqrt(63x^7y^5)

simplify

7 63 x^{7} y^{5}

217 x^{3} y^{2} x y

Solution steps

7 63 x^{7} y^{5}

Apply radical rule:

ab = a b,

assuming

a \geq 0, b \geq 0

63 x^{7} y^{5} = 63 x^{7} y^{5}

= 763 x^{7} y^{5}

Apply radical rule:

ab = a b,

assuming

a \geq 0, b \geq 0

x^{7} y^{5} = x^{7} y^{5}

= 763 x^{7} y^{5}

63 = 37

= 7 \cdot 37 x^{7} y^{5}

Simplify

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

= 7 \cdot 37 x^{3} x y^{5}

Simplify

y^{5} : y^{2} y

= 7 \cdot 37 x^{3} x y^{2} y

Multiply the numbers:

7 \cdot 3 = 21

= 217 x^{3} x y^{2} y

= 217 x^{3} y^{2} x y

(3 x^{2} - y^{4})^{2}

- 2 (t - 3)

(x^{2} - 4 y)^{4}

(2 (x + 1) - 4 (x + 3)) (2 (x + 1) - 4 (x + 3))

49 x^{2} - 56 x y + 16 y^{2}

What is 7sqrt(63x^7y^5) ?
The solution to 7sqrt(63x^7y^5) is 21sqrt(7)x^3y^2sqrt(x)sqrt(y)