Question

1) if x = (5 + 2 √6), then show that √x+1/√x=2√3​

Answer 1

Step-by-step explanation:

take (√x+1/√x )^2 = x + 1/x + 2*(√x)*1/√x)

= 5+2√6 + 1/5+2√6 +2

after rationalising denominator we get

5+2√6+5-2√6+2=12

taking square root om both sides we get

√x+1/√x= √(10+2)= √12 = √4*3= 2√3

therefore √x+1/√x=2√3