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