What is the simplified form of the following expression?
square root of one-one hundred forty-fourth
(1 point)
Responses
one-twelfth
Image with alt text: one-twelfth
one-two hundred eighty-eighth
Image with alt text: one-two hundred eighty-eighth
12
12
one-twelfth
The simplified form of the expression "square root of one-one hundred forty-fourth" is "one-twelfth".
To simplify the expression, we need to evaluate the square root of the given number. In this case, the square root of "one-one hundred forty-fourth" means finding the number that, when multiplied by itself, results in "one-one hundred forty-fourth."
To find the simplified form, we first need to express "one-one hundred forty-fourth" in a numerical form. In this case, "one" refers to the number 1, and "one hundred forty-fourth" refers to 1/144.
So, we need to find the square root of 1/144.
To calculate the square root, you can use a calculator or perform the following steps:
1. Convert the fraction 1/144 into decimals by dividing 1 by 144. This calculation gives us 0.00694444444.
2. Take the square root of the decimal approximation. Using a calculator, you find that the square root of 0.00694444444 is approximately 0.08333333333.
Now, we need to express 0.08333333333 in fractional or simplified form:
0.08333333333 can be written as 1/12.
Therefore, the simplified form of the expression "square root of one-one hundred forty-fourth" is "one-twelfth."