Which fraction is equivalent to √0.65?
A) 16/25
B) 7/10
C) 3/4
D) 4/5
√0.65 = √(65/100) = 1/10 √65
that is close to 1/10 √64
which is about 8/10 = 4/5
HOWEVER it is not exact. Typo????
Oh! Sorry, it was 64, not 65.
LOL, ok
Thank you for the help!
You are welcome.
To determine which fraction is equivalent to √0.65, we need to simplify the square root of 0.65 and express it as a fraction. Here's how you can do it:
1. Start by finding the square root of 0.65 using a calculator or a mathematical software. The approximate value is √0.65 ≈ 0.8062.
2. To express √0.65 as a fraction, we need to rationalize the denominator. Multiply both the numerator and the denominator by the conjugate of the denominator, which is 1. Multiply the numerator and the denominator by √65 to rationalize the denominator:
√0.65 = (0.8062 * √65) / (1 * √65)
Simplifying further, we get:
√0.65 = 0.8062√65 / √65
3. Simplify the expression by canceling out the square roots in the numerator and the denominator:
√0.65 = 0.8062 / 1
Therefore, √0.65 is equal to 0.8062.
Now that we've simplified √0.65 to 0.8062, we can compare this value to the fractions given:
A) 16/25 ≈ 0.64
B) 7/10 = 0.7
C) 3/4 = 0.75
D) 4/5 = 0.8
Since 0.8062 is closest to 0.8, the fraction equivalent to √0.65 is D) 4/5.