Question

find the value of a and b, if root 3-1by root 3+1=a +b root 3​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer with step-by-step-explanation:

Given that,

√3 - 1/√3 + 1 = a + b√3

On rationalising, we get:

⇒ √3 - 1/√3 + 1 × √3 - 1/√3 - 1

⇒ (√3 - 1)²/(√3)² - (1)²

⇒ (√3)² + (1)² - 2 × √3 × 1/ 3 - 1

⇒ 3 + 1 - 2 × √3 /2

⇒ 4 - 2√3 × -1 /2 × -1

⇒ 2 + 2√3

On substituting the above value, we get:

a = 2, b = 2