Question

Rationalize 3√5/√2+√3-3√5

Answer 1

Answer:

$\frac{3\sqrt{10} }{2}$+$\frac{\sqrt{15}-3\sqrt{5} }{5}$

Step-by-step explanation:

3 ROOT5/ROOT2 + ROOT3 -3/ROOOT 5

FOR FIRST PART

RF IS ROOT 2

3 ROOT 2*ROOT 2/ROOT 2 *ROOT 2

3 ROOT 10/2

FOR SECOND PART

RF IS ROOT 5

ROOT 3-3 *ROOT 5/ROOT 5* ROOT 5

ROOT 15 - 3 ROOT 5 /5

SO THEREFORE

3 ROOT 10/2 + ROOT 15-3 ROOT 5 /5

PS. RF IS RATIONALIZING FACTOR WHICH IS USED TO CANCEL OUT THE ROOT SYMBOL