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CBSE Class 9 Answered

If P equals 2 square root of 7 minus 3 square root of 3 space and Q equals space 1 over P , then find the value of P to the power of 4 minus Q to the power of 4 A) 2110 square root of 3
B)negative 1440 square root of 7 C) 2210 square root of 7 D) negative 2640 square root of 21
Asked by adalroshan2464 | 14 Nov, 2018, 06:26: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight P equals 2 square root of 7 minus 3 square root of 3
straight Q equals 1 over straight P
straight Q equals fraction numerator 1 over denominator 2 square root of 7 minus 3 square root of 3 end fraction
straight Q equals fraction numerator 1 over denominator 2 square root of 7 minus 3 square root of 3 end fraction cross times fraction numerator 2 square root of 7 plus 3 square root of 3 over denominator 2 square root of 7 plus 3 square root of 3 end fraction
straight Q equals fraction numerator 2 square root of 7 plus 3 square root of 3 over denominator left parenthesis 2 square root of 7 right parenthesis squared minus open parentheses 3 square root of 3 close parentheses squared end fraction
straight Q equals fraction numerator 2 square root of 7 plus 3 square root of 3 over denominator 28 minus 27 end fraction equals 2 square root of 7 plus 3 square root of 3
To space find space straight P to the power of 4 minus straight Q to the power of 4
straight P to the power of 4 minus straight Q to the power of 4 equals open parentheses straight P squared minus straight Q squared close parentheses open parentheses straight P squared plus straight Q squared close parentheses
straight P to the power of 4 minus straight Q to the power of 4 equals open parentheses straight P plus straight Q close parentheses open parentheses straight P minus straight Q close parentheses open parentheses straight P squared plus straight Q squared close parentheses
straight P plus straight Q equals 4 square root of 7 space comma space straight P minus straight Q equals negative 6 square root of 3 space and space straight P squared minus straight Q squared equals negative 24 square root of 21
Find space straight P to the power of 4 minus straight Q to the power of 4 space we space get space minus 2640 square root of 21 end style
Answered by Sneha shidid | 15 Nov, 2018, 11:06: AM
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