simplify a = √3+√2 /√3-√2 and b=√3-√2/√3+√2 find the value of a square + b square
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Answer:
482
Step-by-step explanation:
a=3+√2/3-√2
= 3+√2/3-√2 x 3+√2/3+√2
=(3+√2)^2/3-2
=13+6√2
Similarly,
b=13-6√2
a=13+6√2
a^2+b^2=(a+b)^2-2ab
=(26)^2-2(169-72)
=676-2(97)
=676-194
=482
Therefore, a^2+b^2=482
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