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If sqrt(2)=1. 414 , and sqrt(3)=1.732 f...

If `sqrt(2)=1. 414 ,` and `sqrt(3)=1.732` find the value of `sqrt(3)+sqrt(6)` upto three place of decimals.

Text Solution

Verified by Experts

Given that
`sqrt2=1.414`
`sqrt3=1.732`
`sqrt3+sqrt6`
`sqrt3+sqrt3xx2`
`sqrt3+sqrt3xxsqrt2` [a^mxxb^m=(ab)^m]
`sqrt3(1+sqrt2)`
`1.732xx2.414`
`4.181`
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  9. If x=3-2sqrt(2),find x^2+1/(x^2)

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  14. If x=2+sqrt(3) , find the value of x^2+1/(x^2)

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  15. Prove that: 1/(1+sqrt(2))+1/(sqrt(2)+sqrt(3))+1/(sqrt(3)+sqrt(4))+1/(...

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  17. Simplify the following expressions: (3+sqrt(3))(2+sqrt(2))

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