Advertisements
Advertisements
Question
If √2 = 1.4 and √3 = 1.7, find the value of : `1/(3 + 2√2)`
Advertisements
Solution
√2 = 1.4 and √3 = 1.7
`1/( 3 + 2√2 )`
= `1/( 3 + 2√2 ) xx ( 3 - 2√2)/( 3 - 2√2)`
= `( 3 - 2√2 )/((3)^2 - (2√2)^2)`
= `( 3 - 2√2 )/( 9 - 8 )`
= 3 - 2√2
= 3 - 2( 1.4 )
= 3 - 2.8
= 0.2
APPEARS IN
RELATED QUESTIONS
Rationalize the denominator.
`11 / sqrt 3`
Write the simplest form of rationalising factor for the given surd.
`4 sqrt 11`
Write the lowest rationalising factor of 5√2.
Write the lowest rationalising factor of : 7 - √7
Write the lowest rationalising factor of : √18 - √50
Write the lowest rationalising factor of 15 – 3√2.
If m = `1/[ 3 - 2sqrt2 ] and n = 1/[ 3 + 2sqrt2 ],` find n2
If x = 2√3 + 2√2 , find : `( x + 1/x)^2`
Rationalise the denominator and simplify `(sqrt(48) + sqrt(32))/(sqrt(27) - sqrt(18))`
Given `sqrt(2)` = 1.414, find the value of `(8 - 5sqrt(2))/(3 - 2sqrt(2))` (to 3 places of decimals).
