Simplify the expression square root of one hundred forty-ninths.
(1 point)
Responses
ten-sevenths
: ten-sevenths
17
17
five-sevenths
five-sevenths
start fraction 20 over 7 end fraction
5/7
To simplify the expression √(140/9), we can first simplify the radicand (the number inside the square root) by dividing both the numerator and the denominator by their greatest common factor, which is 5:
140 / 9 = 28/9
Now, we can take the square root of 28/9:
√(28/9)
Next, we can simplify the square root by recognizing that 28 is equal to 4 times 7, and that the square root of 9 is 3:
√(4 * 7/9)
= √(4/9) * √(7)
= 2/3 * √7
Therefore, the simplified expression is 2/3 * √7.