Question

rationalize the denominator

___12______
5√3+√5​

Answer 1

Answer:

12/(5√3+√5) =12(5√3-√5)/{(5√3+√5) (5√3-√5) }

=12(5√3-5) /(75-5) =12(5√3-√5) /70=6(5√3-√5) /35

Answer 2

____12____ × __5√3-√5___

5√3+√5 5√3-√5

12(5√3-√5)/ (5√3)² - (√5)²

60√3- 12√5 / 75-5

by taking 4 common in numerator we get,

4(15√3- 3√5) / 35×2 (Bcoz 70=35×2)

cutting 2 & 4, we get:

30√3- 3√5/ 35.

Step-by-step explanation:

first rationalise the denominator

then use (a)² - (b)² in denominator

do multiplication in numerator

take out common term

and the rest left is your answer.