If x =5 +2\sqrt 6, then find the value of {x-1}/\sqrtx .

Surds and Indices Practice Test 2

Question : 17 of 17

Marks: +1, -0

x =5 +2√ 6

, then find the value of

{x-1}/√x

Solution:

x =5 +2√ 6

=3+2+2√3×√2

=(√3+√2)^2

∴√x=√3+√2

Now,

{x-1}/√x={5+2√6-1}/{√3+√2}

=2√2

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