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The domain of cos^(-1)(x^2-4)i s [3,5] ...

The domain of `cos^(-1)(x^2-4)i s` [3,5] (b) `[-1,1]` `[-sqrt(5),-sqrt(3)]uu[sqrt(3),sqrt(5)` ] `-sqrt(5),-sqrt(3)]nn[-sqrt(5),sqrt(3)]`

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We have given
`cos^(-1)(x^2-4)`
Let `y=cos^(-1)(x^2-4)`
`cosy=x^2-4`
` −1\leqx^2−4\leq1 `
(As` −1\leqcosy\leq1`)
`3\leqx^2\leq5`
`sqrt3\leq∣x∣\leqsqrt5`
...
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The domain of cos^(-1)(x^(2)-4) is (a) [3,5] (b) [-1,1][-sqrt(5),-sqrt(3)]uu[sqrt(3),sqrt(5)]-sqrt(5),-sqrt(3)]nn[-sqrt(5),sqrt(3)]

1/(sqrt(3)+sqrt(2))-2/(sqrt(5)-sqrt(3))-3/(sqrt(2)-sqrt(5))

(sqrt(5)+sqrt(3))/(sqrt(5)-sqrt(3))+(sqrt(5)-sqrt(3))/(sqrt(5)+sqrt(3))

simplify (sqrt(5)+sqrt(3))/(sqrt(5)-sqrt(3))-(sqrt(5)-sqrt(3))/(sqrt(5)+sqrt(3))

(1)/(4sqrt(3)-3sqrt(5))

(1+sqrt(2))/(sqrt(5)+sqrt(3))+(1-sqrt(2))/(sqrt(5)-sqrt(3))

(1)/(sqrt(3)+sqrt(2))-(2)/(sqrt(5)-sqrt(3))-(3)/(sqrt(2)-sqrt(5))

(1)/(sqrt(2)+sqrt(3)-sqrt(5))+(1)/(sqrt(2)-sqrt(3)-sqrt(5))

(2)/(sqrt(3)+sqrt(5))+(5)/(sqrt(3)-sqrt(5))=x sqrt(3)+y sqrt(5)

sqrt(8-2sqrt(15)) is equal to 3-sqrt(5)b*sqrt(5)-sqrt(3) c.5-sqrt(3)d.sqrt(5)+sqrt(3)

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