Question

Find x. If root x by root 5 =root 2+1

Answer 1

√x/√5 =√2 +1

√x =√5×√2+√5×1

√x=10+√5

squaring both sides

x=100+5+20√5

x=105+20√5

Answer 2

Step-by-step explanation:

√x/ √5 = √2+1

√x = √5×√2+√5

by squaring both sides

x = (√10+√5)^2

x= 10+ 5 + 2√10√5

x= 15+ 2√50

x= 15 +10√2 { √50= √25×2, so = 5√2}