Question

question from rationalising


i will mark brainlist to one who answer in process​

Answer 1

Solution :

Given x = √13 + 2√3 ----(1)

1/x = 1/(√13+2√3)

Rationalising the denominator,

we get

= (√13-2√3)/[(√13+2√3)(√13-2√3)]

= (√13-2√3)/[(√13)²-(2√3)²]

= (√13-2√3)/( 13 - 12)

= (√13-2√3)------(2)

Now ,

x-1/x = √13+2√3 -(√13-2√3)

= √13+2√3-√13+2√3

= 2×2√3

= 4√3

Therefore,

x-1/x = 4√3

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