Question

Rationalise the denominator of
2+√3​

Answer 1

Answer:

Step-by-step explanation:

If 2+√3 is in the denominator, then to rationalise it we follow the below method

First we will write 2 as √4 so that both the numbers are easier to understand.

So the number will be √4+√3

Then we will multiply the entire number by √4-√3 / √4-√3. You can see that here the numerator and denominator are same so no change will be made to the number.

1 / √4+√3 × (√4-√3) / (√4-√3)

Now we can apply the identity (a+b)(a-b)=a²- b²

√4-√3 / (√4²-√3²)

√4-√3 /(4-3)

√4-√3/1

This way the denominator is rationalised.

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