Advertisements
Advertisements
Question
Write the lowest rationalising factor of 15 – 3√2.
Sum
Advertisements
Solution
15 – 3√2
= 3( 5 – √2 )
= 3( 5 – √2 )( 5 + √2 )
= `3 xx[ 5^2 - (sqrt2)^2 ]`
= 3 × [25 – 2]
= 3 × 23
= 69
Its lowest rationalizing factor is 5 + √2.
shaalaa.com
Rationalisation of Surds
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Rationalize the denominator.
`3 /sqrt5`
Rationalize the denominator.
`11 / sqrt 3`
Write the lowest rationalising factor of 5√2.
Write the lowest rationalising factor of √5 - 3.
Write the lowest rationalising factor of : √18 - √50
If x =`[sqrt5 - 2 ]/[ sqrt5 + 2]` and y = `[ sqrt5 + 2]/[ sqrt5 - 2 ]`; find :
x2
If m = `1/[ 3 - 2sqrt2 ] and n = 1/[ 3 + 2sqrt2 ],` find m2
If m = `1/[ 3 - 2sqrt2 ] and n = 1/[ 3 + 2sqrt2 ],` find n2
If √2 = 1.4 and √3 = 1.7, find the value of : `1/(3 + 2√2)`
If x = `sqrt(5) + 2`, then find the value of `x^2 + 1/x^2`
