Simplification Ques 44

Question-

$(5568 \div 87)^{1 / 3}+(72 \times 2)^{1 / 2}=(\text { ? })^{1 / 2}$

(1) 256

(2) 4

(3) $\sqrt{2}$

(4) 16

(5) None of these

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Show Answer

Correct Answer: (1)

Solution: (1)

$\left(\frac{5568}{87}\right)^{\frac{1}{3}}+(72 \times 2)^{\frac{1}{2}}=(?)^{\frac{1}{2}}$

$ \Rightarrow(64)^{\frac{1}{3}}+(144)^{\frac{1}{2}}=(?)^{\frac{1}{2}} $

$ \Rightarrow\left(4^{3}\right)^{\frac{1}{3}}+\left(12^{2}\right)^{\frac{1}{2}}=(?)^{\frac{1}{2}} $

$ \Rightarrow 4+12=(?)^{\frac{1}{2}} $

$\Rightarrow(?)^{\frac{1}{2}}=16 $

$ \Rightarrow ?=16^{2}=16 \times 16=256$