((√10 + √13)² + (√10 − √13)²) / (8√30) = ?
Show answer & explanation
Correct answer: D
Explanation
Given:
((√10 + √13)² + (√10 − √13)²) / (8√30)
Using the formula:
(a + b)² + (a − b)² = 2(a² + b²)
= 2(10 + 13) / (8√30)
= 46 / (8√30)
= 23 / (4√30)
= (23√30) / (4×30)
= 23√30 / 120