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ICSE Class 10 Answered

If Y is equal to root of a plus 3 b + root of a - 3b by root of a plus 3 B minus root of a - 3b shows that 3 b y square - 2 Y + 3 is equal to zero
Asked by ncspreethi | 17 Sep, 2020, 02:52: PM
answered-by-expert Expert Answer
Given: Y = (sqrt{a+3b}+sqrt{a-3b})/(sqrt{a+3b}-sqrt{a-3b})
straight Y equals fraction numerator square root of straight a plus 3 straight b end root plus square root of straight a minus 3 straight b end root over denominator square root of straight a plus 3 straight b end root minus square root of straight a minus 3 straight b end root end fraction equals fraction numerator square root of straight a plus 3 straight b end root plus square root of straight a minus 3 straight b end root over denominator square root of straight a plus 3 straight b end root minus square root of straight a minus 3 straight b end root end fraction cross times fraction numerator square root of straight a plus 3 straight b end root plus square root of straight a minus 3 straight b end root over denominator square root of straight a plus 3 straight b end root plus square root of straight a minus 3 straight b end root end fraction equals fraction numerator straight a plus 3 straight b plus straight a minus 3 straight b plus 2 square root of straight a squared minus 9 straight b squared end root over denominator straight a plus 3 straight b minus straight a plus 3 straight b end fraction equals fraction numerator 2 open parentheses straight a plus square root of straight a squared minus 9 straight b squared end root close parentheses over denominator 6 straight b end fraction rightwards double arrow straight Y equals fraction numerator straight a plus square root of straight a squared minus 9 straight b squared end root over denominator 3 straight b end fraction
Now substitute the value of Y in the expression and get it equal to zero
Answered by Renu Varma | 21 Sep, 2020, 01:05: PM

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