Question

PLEASE HELP ME!!!!!

Answer 1

Step-by-step explanation:

2.

(2 + √3)(2 - √3)

• x² - y² = (x + y)(x - y)
• x = 2, y= √3
• x² = 2² = 4
• y² = √3² = 3
• (2 + √3)(2 - √3) = 4 - 3 = 1

3.

(6 + √5)/(6 - √5)

• Multiply both numerator and denominator by (6 + √5) to simplify
• (6 - √5) ((6 + √5) = 6² - √5² = 36 - 5 = 31
• (6 + √5)/(6 +√5) = 6² + 2*6*√5 + √5² = 36 + 12√5 + 5 = 41 + 12√5
• (6 + √5)/(6 - √5)  = (41 + 12√5)/31