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.
sqrt of 1/44 in simpliest form
5 answers
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
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
Which property is illustrated by the following statement? (3z)xy = 3(zx)y (1 point) Responses Associative Property of Multiplication Commutative Property of Multiplication Inverse Property of Multiplication Commutative Property of Addition
The property illustrated by the statement is the Associative Property of Multiplication. This property states that the grouping of factors in a multiplication expression does not affect the result. In the given statement, we can see that the factors (3z) and x are grouped together first, and then their product is multiplied by y. In the second expression, the factors zx are grouped together first, and then their product is multiplied by y. Both expressions yield the same result.