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प्रश्न
Write the rationalisation factor of \[7 - 3\sqrt{5}\].
उत्तर
The rationalizing factor of `a+sqrtb ` is `a- sqrtb `. Hence the rationalizing factor of `7-3sqrt5` is `7+3sqrt5`.
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संबंधित प्रश्न
Classify the following numbers as rational or irrational:
`2-sqrt5`
Simplify the following expression:
`(3+sqrt3)(2+sqrt2)`
Express the following with rational denominator:
`1/(3 + sqrt2)`
Express the following with rational denominator:
`(6 - 4sqrt2)/(6 + 4sqrt2)`
Rationales the denominator and simplify:
`(5 + 2sqrt3)/(7 + 4sqrt3)`
In the following determine rational numbers a and b:
`(5 + 3sqrt3)/(7 + 4sqrt3) = a + bsqrt3`
Simplify `(7 + 3sqrt5)/(3 + sqrt5) - (7 - 3sqrt5)/(3 - sqrt5)`
Simplify: \[\frac{7 + 3\sqrt{5}}{3 + \sqrt{5}} - \frac{7 - 3\sqrt{5}}{3 - \sqrt{5}}\]
Rationalise the denominator of the following:
`1/(sqrt7-sqrt6)`
The value of `(sqrt(32) + sqrt(48))/(sqrt(8) + sqrt(12))` is equal to ______.
