If a = 2 + √3 then find the value of a^2
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Step-by-step explanation:
a = 2 + root 3
squaring both sides
a^2 = ( 2 + root 3 )^2
Using identity (a+b)^2 = a^2 + 2ab + b^2
a^2 = (2)^2 + (2×2× root 3) + (root 3)^2
a^2 = 4 + 4 root 3 + 3
a^2 = 7 + 4 root 3
Hope it helps
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