Question
Find the value of X: √(90-x) = √(40 + √81)
This question was previously asked in
RPF Constable 2018 Question Paper PDF (16-Feb-2019) (Shift 2)
The correct answer is
41
41 is correct.
A square root equation is solved by simplifying the known side first and then squaring both sides to remove the root.
First simplify the right side: \(\sqrt{81}=9\), so \(\sqrt{40+9}=\sqrt{49}=7\).
Now \(\sqrt{90-x}=7\). Squaring both sides gives \(90-x=49\).
Therefore \(x=90-49=41\).
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