What is sqrt(45x^2y^5z^8) ?

The solution to sqrt(45x^2y^5z^8) is 3sqrt(5)xy^2z^4sqrt(y)

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simplify sqrt(45x^2y^5z^8)

simplify

45 x^{2} y^{5} z^{8}

35 x y^{2} z^{4} y

Solution steps

45 x^{2} y^{5} z^{8}

45 x^{2} y^{5} z^{8} = 45 x^{2} y^{5} z^{8}

= 45 x^{2} y^{5} z^{8}

Apply radical rule:

a^{2} = a,

assuming

a \geq 0

x^{2} = x

= 45 x y^{5} z^{8}

Simplify

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

= 45 x y^{2} y z^{8}

Simplify

z^{8} : z^{4}

= 45 x y^{2} y z^{4}

45 = 35

= 35 x y^{2} y z^{4}

= 35 x y^{2} z^{4} y

\frac{n ^{2} - 225}{n ^{2} + 30 n + 225}

(\frac{y ^{2}}{y ^{\frac{4}{5}}})^{\frac{1}{3}}

x^{8} - 16 x^{4}

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

What is sqrt(45x^2y^5z^8) ?
The solution to sqrt(45x^2y^5z^8) is 3sqrt(5)xy^2z^4sqrt(y)