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

2#sqrt((x^7y^5)#

1 Answer
Tony B
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)#

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