Simplify the expression.
[(√5 + √2)² - (√5 - √2)²] / (√5 × √2)
Show answer & explanation
Correct answer: C
Explanation
Given:
[(√5 + √2)² − (√5 − √2)²] / (√5 × √2)
By the formula:
(a + b)² − (a − b)² = 4ab
(√5 + √2)² − (√5 − √2)²
= 4 × √5 × √2
Now the complete expression
= (4 × √5 × √2) / (√5 × √2) = 4