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if sqrt2=1.414and sqrt3=1.732then find t...

if `sqrt2=1.414and sqrt3=1.732`then find the value of
`4/(3sqrt3-2sqrt2)+3/(3sqrt3+2sqrt2)`

Text Solution

Verified by Experts

we have `4/(3sqrt3-2sqrt2)+3/(3sqrt3+2sqrt2)`
`(4(3sqrt3+2sqrt2)+3(3sqrt3-2sqrt2))/((3sqrt3-2sqrt2)(3sqrt3+2sqrt2))`
`(12sqrt3+8sqrt2+9sqrt3-6sqrt2)/((3sqrt3)^(2)-(2sqrt2)^(2))`
[ usnig identity , `(a+b) (a-b)=a^(2) -b^(2)]`
`(21sqrt3+2sqrt2)/(27-8)=(21sqrt3+2sqrt2)/19`
`(21xx1.732+2xx1.414)/19 " " [putsqrt2=1.414 and sqrt3=1.732]`
`(36.372+2.828)/19=(39.2)/19=2.06316=2.063`
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