Question

Step by step explanation for expressions d and e Thank you loads!!!

Answer 1

Explanation:

D)

`(4√(b) )/(√(3)-b )` > in order to get rid of root on bottom like this, you

need to multiply top and bottom by conjugate

√3 +b

`=(4√(b) )/(√(3)-b )(√(3)+b)/(√(3)+b)` > Distribute on top and FOIL bottom

`=(4√(3b)+4b√(b) )/(3 -b^(2) )` >This is simplified, you cannot combine anything else

E)

`\frac{3\sqrt{a^(2) } } {√(3) } / 2a^{(3)/(2) }` >√a² = a

`=\frac{3a } {√(3) } / 2a^{(3)/(2) }` >Division of fraction keep change flip

`=\frac{3a } {√(3) } * \frac{1}{2a^{(3)/(2)} }` >Because 2a is not in parenthesis 3/2 exp.

is only for a

`=\frac{3a } {√(3) } * \frac{1}{2\sqrt{a^(3) } }` > You can make 1 set of a² so 1 comes out but 1 stays

`=\frac{3a } {√(3) } * (1)/(2a√(a ) )` >put like items under root

`=\frac{3a } {2a√(3a) }` >multiply top and bottom by root

`=\frac{3a } {2a√(3a) }*(√(3a))/(√(3a))` >multiply

`=\frac{3a√(3a) } {2a(3a)} }` >3a cancels

`=\frac{√(3a) } {2a} }` >This is simplified