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प्रश्न
Rationalise the denominator of the following:
`(3 + sqrt(2))/(4sqrt(2))`
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उत्तर
Let `E = (3 + sqrt(2))/(4sqrt(2))`
For rationalising the denominator, multiplying numerator and denominator by `sqrt(2)`,
`E = (3 + sqrt(2))/(4sqrt(2)) xx sqrt(2)/sqrt(2)`
= `(3sqrt(2) + (sqrt(2))^2)/(4(sqrt(2))^2`
= `(3sqrt(2) + 2)/(4 xx 2)`
= `(3sqrt(2) + 2)/8`
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संबंधित प्रश्न
Classify the following numbers as rational or irrational:
`2-sqrt5`
Rationales the denominator and simplify:
`(5 + 2sqrt3)/(7 + 4sqrt3)`
Rationales the denominator and simplify:
`(1 + sqrt2)/(3 - 2sqrt2)`
Rationales the denominator and simplify:
`(2sqrt3 - sqrt5)/(2sqrt2 + 3sqrt3)`
Simplify:
`2/(sqrt5 + sqrt3) + 1/(sqrt3 + sqrt2) - 3/(sqrt5 + sqrt2)`
In the following determine rational numbers a and b:
`(3 + sqrt2)/(3 - sqrt2) = a + bsqrt2`
Write the reciprocal of \[5 + \sqrt{2}\].
Write the rationalisation factor of \[\sqrt{5} - 2\].
The rationalisation factor of \[\sqrt{3}\] is
Find the value of a and b in the following:
`(5 + 2sqrt(3))/(7 + 4sqrt(3)) = a - 6sqrt(3)`
