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

If `sqrt(2)=1.414 and sqrt(7)=2.646`, then find the value of `sqrt(32)+sqrt(252.)`

A

`20.839`

B

`21.532`

C

`19.482`

D

`22.231`

Text Solution

Verified by Experts

The correct Answer is:
B

`sqrt(32)+sqrt(252)`
`=4sqrt(2)+6sqrt(7)`
`=4xx1.414+6xx2.646`
`= 5.656 + 15.876`
`=21.532`
Hence , the correct option is (b).
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Knowledge Check

  • If sqrt(2)=1.414 and sqrt(7) =2.464 , then find the value of sqrt(32) sqrt(252) .

    A
    `20.839`
    B
    `21.532`
    C
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    D
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  • If sqrt(2)=1.414 and sqrt(7)=2.646 find the of ( sqrt(2)+1)^(2)+(sqrt(7)+1)^(2) . The following steps are involved in solving the above problem. Arrange them in sequential order. (A) 19.20 (B) 11+2xx2.060=11+8.20 (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+2 sqrt(2)+7+1+2 sqrt(7)

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