Question

prove that the sum of root 3-root 2/root 3 +root 2and root 3+root 2/root 3-root 2 is a rational number​

Answer 1

Step-by-step explanation:

√3-√2/√3+√2 + √3+√2/√3-√2

(√3 - √2)² + (√3+√2)² /(√3+√2)(√3-√2)

2{(√3)² + (√2)²} / (√3)² - (√2)²

2 { 3 + 2 } / (3 - 2)

2 × 5 / 1

= 10

It's a rational number .

Hence proof