What is sqrt(7x^5)*sqrt(42xy^9) ?

The solution to sqrt(7x^5)*sqrt(42xy^9) is 7sqrt(6)x^3y^4sqrt(y)

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simplify sqrt(7x^5)*sqrt(42xy^9)

simplify

7 x^{5} \cdot 42 x y^{9}

76 x^{3} y^{4} y

Solution steps

7 x^{5} 42 x y^{9}

Simplify

7 x^{5} : 7 x^{2} x

= 7 x^{2} x 42 x y^{9}

Simplify

42 x y^{9} : 42 x y^{4} y

= 7 x^{2} x 42 x y^{4} y

Apply radical rule:

a a = a,

assuming

a \geq 0

x x = x

= 7 x^{2} x 42 y^{4} y

42 = 76

= 7 x^{2} x 76 y^{4} y

Apply radical rule:

a a = a, a \geq 0

77 = 7

= 7 x^{2} x 6 y^{4} y

Simplify

x^{2} x : x^{3}

= 7 x^{3} 6 y^{4} y

= 76 x^{3} y^{4} y

t^{2} - 4 t - 5

625 x^{4} - 81

8 c^{3} + 729

(y \cdot y^{\frac{1}{3}})^{\frac{3}{2}}

(7 k)^{2}

What is sqrt(7x^5)*sqrt(42xy^9) ?
The solution to sqrt(7x^5)*sqrt(42xy^9) is 7sqrt(6)x^3y^4sqrt(y)