\(\sqrt m + \sqrt {m - 5} = 5,\) what is the value of m ?
Solution
Correct Answer: Option D
Solution:
যদি \(\sqrt m + \sqrt {m - 5} = 5,\) হয় তবে m এর মান কত ?
দেওয়া আছে, \(\sqrt m + \sqrt {m - 5} = 5\)
=> \({(\sqrt {m - 5} )^{2\;}} = {(5 - \sqrt m )^{2\;}}\) [বর্গ করে ]
=> m - 5 = 52 - 2.5 \( \times \sqrt m + {(\sqrt m )^{2\;}}\)
=> m - 5 = 25 - \(10\sqrt m + m\)
=> m + \(10\sqrt m - m\) = 30
=> \(10\sqrt m \) = 30
=> \(\sqrt m \) = 3
=> \({(\sqrt m )^{2\;}}\) = 32
m = 9.
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