Final answer:
To simplify the square root of 7/18, divide the numerator and denominator into their prime factors and cancel out common factors.
Step-by-step explanation:
To simplify the square root of 7/18, we can break down the numerator and denominator into their prime factors:
7 = 7
18 = 2 * 3 * 3
Now, we can cancel out any common factors between the numerator and denominator, which in this case is a factor of 3:
7/18 = 7/(2 * 3 * 3) = 7/(2 * 3 * 3) = 7/(2 * 3) = 7/6
Therefore, the simplified square root of 7/18 is (√7)/√6, since the square root of 6 is still in the denominator.