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If sqrt(2)=1.414 and sqrt(7)=2.646, find...

If `sqrt(2)=1.414 and sqrt(7)=2.646`, find the value of `(sqrt(2)+1)^2+(sqrt(7)+1)^2`.
The following stpes are involved in solving the above problem. Arrrange them in sequenatial order.
(A) `19.120`
(B) `11+2xx4.060=11+8-120`
(C) `11+2(sqrt(2)+sqrt(7))=11+2(1.414+2.646)`
(D) `(sqrt(2)+sqrt(1))^2+(sqrt(7)+1)^2=2+1+2sqrt(2)+7+1+2sqrt(7)`.

A

ABCD

B

DACB

C

DBCA

D

DCBA

Text Solution

Verified by Experts

The correct Answer is:
D
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If sqrt(7)=2.646 , then find the value of (sqrt(2)+sqrt(14))^2 The following steps are involved in solving the above problem.Arrange them in sequential order. (A) 16+2sqrt(2)xxsqrt(2)xxsqrt(7) (B) 16+2xx2xsqrt(7) (C) (sqrt(2)+sqrt(14))^2=2+14+2sqrt(2)xxsqrt(14) (D) 16+4xx2.646=16+10.584=26.584