CBSE Class 9 Answered
Sir, the question is:
Asked by Sthitaprajna Mishra | 25 Sep, 2013, 05:28: PM
Expert Answer
Let (2+?5)1/2 = a
and (2-?5)1/2 = b
x=(2+?5)1/2+(2-?5)1/2
Squaring both sides
x2=(2+?5)1/2* 2+(2-?5)1/2* 2+ 2((2+?5)(2-?5))1/2
=2+?5+2-?5+2(22-?52)1/2
=4+2(22-?52)1/2 ...(1)
y=(2+?5)1/2-(2-?5)1/2
Squaring both sides
y2=(2+?5)1/2* 2+(2-?5)1/2* 2- 2((2+?5)(2-?5))1/2
=2+?5+2-?5-2(22-?52)1/2
=4-2(22-?52)1/2 ...(2)
Adding (1) and (2):
x2+y2=4+2(22-?52)1/2+ 4-2(22-?52)1/2 = 4 + 4 = 8
Answered by | 25 Sep, 2013, 05:36: PM
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