Question

If m = 1 3−2√2 and n = 1 3+2√2 , Find i. m 2 ii. n 2 iii. mn​

Answer 1

Answer:

1. m² = 177 - 52√2
2. n² = 177 - 52√2
3. mn= 161

Step-by-step explanation:

m² = (13 - 2√2)² = 169 + 8 - 52√2 = 177 - 52√2

• (a-b) ² = a² + b² - 2ab

n² = (13 + 2√2)² = 169 + 8 + 52√2 = 177 - 52√2

• (a+b)² = a² + b² + 2ab

MN = (13 - 2√2)(13 + 2√2) = 169 - 8 = 161

• (a+b)(a-b) = a² - b²