Question

Show that (√2-√3) (√2+√3) is a rational number

Answer 1

Here we will use the following identity:-

(a+b)(a-b)=a^2-b^2

Here ,
(√2-√3)(√2+√3)=(√2)^2-(√3)^2
=2-3
=(-1)

So , (√2-√3)(√2+√3) is a rational number because (√2-√3)(√2+√3) is equal to (-1) which is a rational number .....

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Answer 2

your answer is 2-3=-1 as on multiplying roit 6 nd -root six will canclel out leavin2-3=-1