sqrt of 1/44 in simpliest form
To simplify the square root of 1/44, we can simplify the square root of both the numerator and the denominator separately.
First, let's simplify the numerator:
√1 = 1
Next, let's simplify the denominator:
√44 = √(4 × 11) = √4 × √11 = 2√11
So, the simplified form of √(1/44) is 1 / (2√11)
To find the square root of 1/44 in simplest form, we can first simplify the fraction by multiplying the numerator and denominator by 44:
√(1/44) = √(1 × 44) / (√(44) × 44) = √44 / 44
Next, we can simplify the square root of 44 by breaking it down into its factors. The prime factorization of 44 is 2 × 2 × 11. We can take out a 2 from the square root:
√44 / 44 = √(2 × 2 × 11) / 44 = √(2 × 2) × √11 / 44 = 2√11 / 44
Finally, we can simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 4:
2√11 / 44 = (2/4) × √11 / (44/4) = 1/2 × √11 / 11
Thus, the simplest form of √(1/44) is 1/2 × √11 / 11.
To find the square root of \( \frac{1}{44} \) in simplest form, we can follow these steps:
Step 1: Simplify the fraction if possible. In this case, \( \frac{1}{44} \) is already in its simplest form.
Step 2: Take the square root of the numerator and the square root of the denominator separately. The square root of 1 is 1, and the square root of 44 can be rewritten as the square root of 4 times the square root of 11. Simplifying the square root of 4 gives us 2.
Step 3: Combine the results. We have \( \sqrt{\frac{1}{44}} = \frac{1}{2}\sqrt{11} \).
Therefore, the square root of \( \frac{1}{44} \) in simplest form is \( \frac{1}{2}\sqrt{11} \).
sqrt of 1/144 in simpliest form
To simplify the square root of 1/144, we can simplify the square root of both the numerator and the denominator separately.
First, let's simplify the numerator:
√1 = 1
Next, let's simplify the denominator:
√144 = √(12 × 12) = 12
So, the simplified form of √(1/144) is 1/12