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Question
The rationalisation factor of \[2 + \sqrt{3}\] is
Options
\[2 - \sqrt{3}\]
\[2 + \sqrt{3}\]
\[\sqrt{2} - 3\]
\[\sqrt{3} - 2\]
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Solution
We know that rationalization factor for `a+sqrt b` is `a-sqrtb` . Hence rationalization factor of `2+sqrt3` is `2-sqrt3 `.
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RELATED QUESTIONS
Simplify the following expressions:
`(sqrt3 + sqrt7)^2`
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`sqrt2/sqrt5`
Find the value to three places of decimals of the following. It is given that
`sqrt2 = 1.414`, `sqrt3 = 1.732`, `sqrt5 = 2.236` and `sqrt10 = 3.162`
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Express the following with rational denominator:
`1/(3 + sqrt2)`
Rationales the denominator and simplify:
`(1 + sqrt2)/(3 - 2sqrt2)`
Simplify
`1/(2 + sqrt3) + 2/(sqrt5 - sqrt3) + 1/(2 - sqrt5)`
Simplify:
`2/(sqrt5 + sqrt3) + 1/(sqrt3 + sqrt2) - 3/(sqrt5 + sqrt2)`
The rationalisation factor of \[\sqrt{3}\] is
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`(sqrt(2) + sqrt(3))/(3sqrt(2) - 2sqrt(3)) = 2 - bsqrt(6)`
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`1/(sqrt(3) + sqrt(2))`
