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Answer :
c) 21
Solution :
- Given : √(19 - 4√x) = √12 - √7
- To find : x = ?
We have ;
√(19 - 4√x) = √12 - √7
Now ,
Squaring both the sides , we get ;
=> 19 - 4√x = (√12 - √7)²
=> 19 - 4√x = (√12)² + (√7)² - 2•√12•√7
=> 19 - 4√x = 12 + 7 - 2•2√3•√7
=> 19 - 4√x = 19 - 4√21
=> -4√x = -4√21
=> √x = √21
=> x = 21
Hence x = 21 .
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