Question

Rationalise the denominator of 1/5+3√2

Answer 1

Answer:

Step-by-step explanation:

Here is your answer.........

=>1/(5+ 3√2)

=  >  [1/(5+ 3√2)]*[(5-3√2)/(5-3√2)]

=  >  (5-3√2)/(25-18)

=>(5-3√2)/7

Hope it helps...

Answer 2

Answer:

(5-3√2(/7

Step-by-step explanation:

1/(5+3√2)

Now we know that rationalizing factor of (5+3√2) is (5-3√2)

Therefore if we multiply numerator and denominator by (5-3√2) then denominator becomes rational.

Now if you don't know what rationalizing factor is, consider the algebraic identity (a+b)(a-b)=a²-b²

Say a or b(or both) is irrational, so squaring it will make it rational right?

so if irrational expression is in form (a+b) we multiply (a-b) to it to make it rational.

Applying this principle we get, 1×(5-3√2)/(5+3√2)(5-3√2)

=(5-3√2)/7