Question

if a=9-4√5 find the value of √a+1/√a

Answer 1

ANSWER:

Given

• a = 9 - 4√5

TO FIND:

• √a + 1/√a

SOLUTION:

Simplifying the question

√a + 1/√a

→ (√a)² + 1/√a

→ a + 1/√a

Substituting a = 9 - 4√5

→ 9 - 4√5 + 1/√9 - 4√5

→ 10 - 4√5/√9 - 4√5

Hence, √a + 1/√a = 10-4√5/√9 - 4√5