Question

If 'a' and 'b' are rational
numbers, find the value of 'a' and 'b' in root3+root2÷root3-root2='a'+'b' root6
of the equation​

Answer 1

Answer:

Step-by-step explanation:

√3 + √2 / √3 - √2

//multiply numerator and denominator by √3 + √2

=> √3 + √2 / √3 - √2 * √3 + √2 / √3 + √2

=> (√3 + √2)² / (√3 + √2)(√3 - √2)

=> 3 + 2 + 2√6 / 3 - 2

=> 5 + 2√6.

Comparing with format of a + b√6,

a = 5, b = 2.