Question

√(12) / √(6)
a) 2
b) 3
c) 4
d) 6

Answer 1

To simplify the given expression √(12) / √(6), we can simplify the square roots separately and then rationalize the denominator. The simplified expression is √2.

Step-by-step explanation:

To simplify the expression √(12) / √(6), we can simplify each square root separately. √(12) = √(4x3) = √4 x √3 = 2√3. Similarly, √(6) = √(3x2) = √3 x √2.

So, the expression becomes (2√3) / (√3 x √2).

Now, we can cancel out the common factor of √3 in the numerator and denominator, leaving us with 2 / √2.

To rationalize the denominator, we multiply both the numerator and denominator by √2, resulting in (2/√2) x (√2/√2) = 2√2 / 2 = √2.

Therefore, √(12) / √(6) simplified is equal to √2.