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√56 + √56 + √56 + .... ) ÷ 22 = ?
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- 0
- 1
- 2
- 8
Correct Option: C
Here, Let us Assume ,
p = √56 + √56 + √56 + ...........
⇒ p = √56 + p
Square on both side and solve the above equation.
⇒ p2= 56 + p
⇒ p2 - p= 56
⇒ p(p - 1 ) = 56
⇒ p(p - 1 ) = 8 x 7
⇒ Either p = 8 or p - 1 = 7
⇒ So p = 8;
Now given equation in question is
√56 + √56 + √56 + .... ) ÷ 22 = ?
⇒ p ÷ 22 = ?
Put the value of p
⇒ 8 ÷ 22 = ?
⇒ 8 ÷ 4 = ?
⇒ ? = 2;