Simplify the following expression and identify its nature:
(5√3×√12)/√2
Show answer & explanation
Correct answer: A
Explanation
Given:
(5√3 × √12)/√2
Since √12 = √(4 × 3)
= 2√3
Therefore, (5√3 × 2√3)/√2
= (10 × 3)/√2
= 30/√2
Rationalizing the denominator:
= (30√2)/2
= 15√2
√2 is an irrational number.
Therefore, 15√2 is also an irrational number.