Question

what is 2 ^2 + {√3}^2​

Answer 1

Answer:

Yes , this a really tricky one , but it will be easy if you know the method

3−22–√−−−−−−−√

To remove the outer square root , we will the thing inside as a perfect square

We know , (a−b)2=a2−2ab+b2

3−22–√=2+1−22–√

which is (2–√)2−2⋅1⋅2–√+12

We can relate the values by the identity. here a=2–√,b=1

So therefore 3−22–√=(2–√−1)2

So 3−22–√−−−−−−−√=(2–√−1)2−−−−−−−−√

=2–√−1 (since square roots should always give the positive value)

Answer 2

2² + (√3)²
= 4 + 3
= 7

Hope this helps you
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