Simplification Ques 12

Question-

$(2 \sqrt{392}-21)+(\sqrt{8}-7)^{2}=(\text { ? })^{2}$

(1) 4

(2) -4

(3) 12

(4) 2

(5) 6

Show Answer

Correct Answer: (5)

Solution:(5)

$(?)^{2}=(2 \sqrt{392}-21)+(\sqrt{8}-7)^{2}$

$(?)^{2}=(2 \sqrt{7 \times 7 \times 2 \times 2 \times 2}-21) +(8+49-2 \times 7 \sqrt{8})$

$(?)^{2}=28 \sqrt{2}-21+57-28 \sqrt{2}$

$(?)^{2}=36$

$\therefore ?=\sqrt{36}=6$