Question

Which expression is equivalent to ? Assume

Answer 1

√8x^7y^8
=2x^3y^4 √2x

answer is C. third choice

hope it helps

Answer 2

The correct option is 3.

Explanation:

The given expression is

`√(8x^7y^8)`

Where x≥0.

The given expression can be written as

`√(2^3x^7y^8)`

`√(2^2\cdot 2\cdot x^6\cdot x\cdot y^8)`
`[\because a^ma^n=a^(m+n)]`

Now combine the terms having even powers.

`√((2^2\cdot x^6\cdot y^8)\cdot (2\cdot x))`

`√((2x^3y^4)^2\cdot (2x))`
`[\because (mn)^x=m^xn^x]`

`2x^3y^4√(2x)`
`[\because √(x^2)=x]`

The given expression is equivalent to
`2x^3y^4√(2x)`. Thus option 3 is correct.