If the sides of a square measure 10√6 units

Question

If the sides of a square measure 10√6 units, then find the length of the diagonal.

Answer 1

The diagonal of a square is always √2 times the length of a side

10√6√2

10√12

10(2)√3)
20√3

Answer 2

Simply use the Pythagorean Theorem. The diagonal is the hypotenuse.

c² = a² + b²

c² = (10√6)² + 10√6)²

c² = 100(6) + 100(6)

c² = 600 + 600

c² = 1200

c = √1200

c = √400√3

c = 20√3 units