Question

simplify the following:(√3-√2) ²
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Answer 1

(√3-√2)^2

by identity (a-b)^2=a^2+b^2-2ab

√3^2+√2^2-2×√3×√2

3+2-2√6

5-2√6

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Answer 2

The problem,

(√3−√2)2

=(√3)2+(√2)2−2(√3∗√2)

=3+2+2√4

=5−2√4

Now,

2√4=√24=4.898979486(approx)

So,

(√3−√2)2

=5−2√6

=5−4.898979486

=0.101020514.