Question

Simplify : (√8 − √75)/(√8+ √75)​

Answer 1

Answer:

4(9-5$\sqrt{6$)/-117

Step-by-step explanation:

(√8 − √75)/(√8+ √75)​

=(2$\sqrt{2$-5$\sqrt{3$)/(2$\sqrt{2$+5$\sqrt{3$)*(2$\sqrt{2$-5$\sqrt{3$)/(2$\sqrt{2$-5$\sqrt{3$)

=(2$\sqrt{2$-5$\sqrt{3$)/(4*2-25*3)

=8-20$\sqrt{6$+25/8-125

=36-20$\sqrt{6$/-117

=4(9-5$\sqrt{6$)/-117