Simplification Ques 41

Question-

$\sqrt{33124} \times \sqrt{2601}-(83)^{2}=(\text { ? })^{2}+$ (37) ${ }^{2}$

(1) 37

(2) 33

(3) 34

(4) 28

(5) None of these

Show Answer

Correct Answer: (5)

Solution: (5)

$\sqrt{33124} \times \sqrt{2601}-(83)^{2}$

$=?^{2}+(37)^{2}$

$\Rightarrow 182 \times 51-6889=?^{2}+1369$

$\Rightarrow 2393=?^{2}+1369$

$\Rightarrow ?^{2}=2393-1369=1024$

$\Rightarrow$ ? $=\sqrt{1024}=32$