Question

How do you simplify `sqrt(28x^3y^4)`?

Answer 1

`sqrt(28x^3y^4)`

`= sqrt((7*4)(x^2*x)(y^2)^2)`

`= sqrt((7*2^2)(x^2*x)(y^2)^2)`

`color(green)( = 2*x*y^2sqrt(7x)` is the Simplified Form of `sqrt(28x^3y^4)`

Answer 2

Simplifying the values can work out here.

Explanation:

the above can also be written as `sqrt28sqrtx^3sqrty^4` for convenience.
1) `sqrt28`=2`sqrt7`
2) `sqrtx^3`=x`sqrtx`
3) `sqrty^4`= `y^2`
Hence on using 1,2 and 3 we get the answer=2x`y^2` `sqrt7` `sqrtx`
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I hope this helps :)