Question:
What should come in place of question mark\((?)\)in the following questions?
\((32)^2+\sqrt{?}-(23)^2=536\)
What should come in place of question mark\((?)\)in the following questions?
\((32)^2+\sqrt{?}-(23)^2=536\)
\((32)^2+\sqrt{?}-(23)^2=536\)
Updated On: Oct 15, 2024
- 1764
- 1849
- 1521
- 1681
- None of these
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The Correct Option is D
Solution and Explanation
- Simplify the squares-
(32)2=32×32=1024
(23)2=23×23=529 - Now the equation becomes:
1024+\(\sqrt{?}\)-529=536 - Simplify the constants
1024−529=495 - Now the equation is:
495+\(\sqrt{?}\)=536 - Isolate\(\sqrt{?}\)
\(\sqrt{?}\)=536−495=41
To remove the square root, square both sides:
?=412=41×41=1681
Thus, the value of ??? is:1681
The Correct option is(D)
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