Question

The square root of 256x⁸y⁴z¹⁰/25x⁶y⁶z⁶ is equal to​

Answer 1

(16/5)|xz2/y| is the answer

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Answer 2

Given,

An expression: 256x⁸y⁴z¹⁰/25x⁶y⁶z⁶

To find,

The square root of the given expression.

Solution,

We can simply solve this mathematical problem using the following process:

We can find the square root of the given expression as follows:

√(256x⁸y⁴z¹⁰/25x⁶y⁶z⁶)

= √(256x⁸y⁴z¹⁰)/√(25x⁶y⁶z⁶)

= √{(256x⁸y⁴z¹⁰)}/√{(25x⁶y⁶z⁶)}

= √{(16)^2.(x^4)^2.(y^2)^2.(z^5)^2}/√{(5)^2.(x^3)^2.(y^3)^2.(z^3)^2}

= √{(16.x^4.y^2.z^5)^2}/√{(5.x^3.y^3.z^3)^2}

= (16.x^4.y^2.z^5)/(5.x^3.y^3.z^3)

= 16/5 × (x.z^2)/y

= 16xz^2/5y

Hence, the square root of the given expression is equal to 16xz^2/5y.