Advertisements
Advertisements
Question
Write the simplest form of rationalising factor for the given surd.
`sqrt 32`
Advertisements
Solution
Since , `sqrt 32 = sqrt(16 xx 2) = 4 sqrt 2`
∴ `4sqrt2 xx sqrt2 = 4 xx 2 = 8` is a rational number.
So, `sqrt 2` is the simplest form of rationalising factor.
APPEARS IN
RELATED QUESTIONS
Rationalize the denominator.
`3 /sqrt5`
Rationalize the denominator.
`1/sqrt14`
Rationalize the denominator.
`11 / sqrt 3`
Write the simplest form of rationalising factor for the given surd.
`3 sqrt 72`
Write the lowest rationalising factor of 5√2.
Write the lowest rationalising factor of : √24
Write the lowest rationalising factor of √5 - 3.
Write the lowest rationalising factor of : 7 - √7
Write the lowest rationalising factor of : √13 + 3
If x =`[sqrt5 - 2 ]/[ sqrt5 + 2]` and y = `[ sqrt5 + 2]/[ sqrt5 - 2 ]`; find :
x2
If x =`[sqrt5 - 2 ]/[ sqrt5 + 2]` and y = `[ sqrt5 + 2]/[ sqrt5 - 2 ]`; find : xy
If m = `1/[ 3 - 2sqrt2 ] and n = 1/[ 3 + 2sqrt2 ],` find n2
If x = 2√3 + 2√2, find: `(x + 1/x)`
If x = 5 - 2√6, find `x^2 + 1/x^2`
Show that :
`1/[ 3 - 2√2] - 1/[ 2√2 - √7 ] + 1/[ √7 - √6 ] - 1/[ √6 - √5 ] + 1/[√5 - 2] = 5`
Evaluate: `( 4 - √5 )/( 4 + √5 ) + ( 4 + √5 )/( 4 - √5 )`
Rationalise the denominator and simplify `(sqrt(48) + sqrt(32))/(sqrt(27) - sqrt(18))`
Rationalise the denominator and simplify `(2sqrt(6) - sqrt(5))/(3sqrt(5) - 2sqrt(6))`
If x = `sqrt(5) + 2`, then find the value of `x^2 + 1/x^2`
