We do not leave an irrational number in the denominator.
So, we rationalise the denominator.Β Let us look at some examples
Rationalising
Add (3β2+7β3) and (β2β5β3)
Divide 5β11 by 3β33
Multiply 2β15 by 7β5
Simplify (β5+β7)^2
Simplify (β4ββ13)(β4+β13)
Simplify (9ββ3)(9+β3)
Simplify (3β5β5β2)(4β5+3β2)
Rationalise the denominator of 8/β7
Rationalise the denominator of 1/((8 + 5β2))
Simplify (7β3)/(β10 + β3)β(2β5)/(β6 + β5)β(3β2)/(β15 + 3β2)
Multiple Choice Questions - Chapter 1 Class 9 Maths
If a and b are rational numbers and (β11 β β7)/(β11 + β7) = a β bβ77, find the value of a and b
Example 17
Example 18
Find the values of a and b if (7 + 3β5)/(3 + β5) β (7 β 3β5)/(3 β β5) = a+β5 b
If x = 1/(2 β β3), find the value of x^3 β 2x^2 β 7x + 5
Ex 1.5, 5 (i)
If a = 5 + 2β6 and b = 1/a, then what will be the value of a^2+b^2 ?
Example 19
Example 20 Important
Rationalising
Last updated at Sept. 11, 2020 by Teachoo
We do not leave an irrational number in the denominator.
So, we rationalise the denominator.Β Let us look at some examples
Some Identities (βπ)^2=π β(π^2 )=π βππ=βπ Γβπ β(π/π)=βπ/βπ (βπββπ)(βπ+βπ)=πβπ (πββπ)(π+βπ)=π^2βπ (βπ+βπ)^2=π+π+2βππ (βπ+βπ)(βπ+βπ)=βππ+βππ + βππ + βππ