Find the exact solution for each equation. Find the approximate solution to the nearest tenth.

Question

5 sq rt 2/ sq rt 2 -1 = x / sq rt 2

Please explain in detail how to work this. I am really confused. Thanks

Answer 1

5√2/(√2-1) = x/√2

5√2√2/(√2-1) = x

x = 10/(√2-1)

rationalize the denominator to get

x = 10(√2+1)