Question

Rationalize the denominator:

`(1)/( √(3) - √( 2) )`
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Answer 1

√3 + √2

Explanation:

The best approach to this problem would be by multiplying the denominator ad numerator by the denominator's conjugate;

1(√3 + √2) / (√3 - √2)(√3 + √2)

= (√3 + √2) / (√3)^2 - (√2)^2

= √3 + √2 / 3 - 2

= √3 + √2 / 1 = √3 + √2

We now have a denominator of 1, which is rationalized. The solution would be √3 + √2.

Answer 2

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`step\:1`

`(1)/( √(3) - √(2) )`

write the equation

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`step\:2`

`(1 * ( √(3) + √(2)) )/( (√(3) - √(2) ) * (√(3) + √(2)) )`

multiply both numerator and denominator by √3+√2

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`step\:3`

`( √(3) + √(2) )/( ( 3 ) - ( 2 ) )`

after multiplying numerator with √3+√2 we get→√3+√2

after multiplying denominator we get 3-2

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`step\:4`

`( √(3) + √(2) )/(1)`

after subtracting 3 with 2 we get →1

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hence denominater is rationalized✓

hope it helped you:)