Question

show that 3√5-2√ 2 is a square root of 53-12√ 10

Answer 1

pls send me the photo the I will solve.

Answer 2

Answer:

45 - 12√10 + 8

Step-by-step explanation:

(3√5 - 2√2)²

= (3√5)² - 2(3√5)(2√2) + (2√2)²

= (9×5) - (2×3√5×2) + (4×2)

= 45 - 12√10 + 8

= 53 - 12√10

→ Hence, it is proved that (3√5 - 2√2) is the square root of 53 - 12√10.