Question

Q1. Find the values of 'a' and 'b' such that


5+2√3

7+4√3

= a + b√3


Q2. If the area of an equilateral triangle is 36√3 cm2

, find its perimeter.


Q3. Rationalise the denominator of 3−2√2

3 +2√2

​

Answer 1

Answer:

$5+ 2 \sqrt{3} + 7 + 2 \sqrt{3} = a + b \sqrt{3} \\ = >( 5 + 7) + 2 \sqrt{3} = a + b \sqrt{3 } \\ = > 12 + 2 \sqrt{3} = a + b \sqrt{3} \\ = > a = 12 \: \: and \: \: b = 2$