what is the squair root of 67 as a fration

one of the properties of square roots, other than perfect squares, is that they CANNOT be expressed as fractions.

so please rephrase your question.

The square root of 67 = 8.185 = 8 185/1000 = 8 37/200

I'm sure Reiny is right.

now a really interesting question would be,

"What is the fraction closest in value to √67 , with a denominator less than 1000"

To find the square root of 67 as a fraction, we can follow these steps:

1. Begin by finding the prime factorization of 67. Since 67 is a prime number, its only factors are 1 and itself.

2. Express the number inside the square root symbol (67) as the product of its prime factors: 67 = 1 × 67.

3. To simplify the square root, we can pair the prime factors and take out pairs of identical factors. Since there are no identical factors in this case, we cannot simplify the square root of 67 any further.

Therefore, the square root of 67 cannot be expressed as a simplified fraction.