How do you simplify 2sqrt((x^7y^5)?

2sqrt((x^7y^5)

1 Answer
Mar 21, 2018

Once a bit of practice is gained in this you will not need to write it out in such detail. You will jump steps.

2x^3y^2sqrt(xy)

Explanation:

You look for squared values within the root. You can 'take these outside' the root as single values.

Example: sqrt(8)=sqrt(2^2xx2)=2sqrt(2)

So we write the given as:

2sqrt(x^2xx x^2 xxx^2 xx x xx y^2xxy^2xxy)

2xx x xx x xx x xxyxxysqrt(xy)

2x^3y^2sqrt(xy)