## anonymous one year ago Choose the best description for the real number square root of 35. A Irrational, because it is not a terminating or repeating decimal Irrational, B because it is a repeating decimal Rational, C because it is not a terminating or repeating decimal D Rational, because it is a repeating decimal

1. anonymous

@pooja195

2. anonymous

@annas

3. anonymous

@Valpey

4. Valpey

If the square root of 35 were rational, it could be written in the form A/B where A is an integer and B is a whole number. This is how rational numbers are defined.

5. anonymous

Well, the number that you get when square rooting 35 is 5.91608. This wouldn't be a repeating decimal. So, right there you can eliminate the answers that have that.

6. Valpey

Also, repeating decimals can all be written as A/B and are therefore rational numbers.

7. anonymous

Then, do like he said, work out if the number is rational or irrational. :)

8. Valpey

If it is rational then $$\frac{A}{B}*\frac{A}{B} = 35 = 5*7$$ and $$A^2 = 5*7*B^2$$. This means that $$A^2$$ is a multiple of 5 and a multiple of 7. What does that tell us about A?

9. anonymous

Good job keshaun455! You're correct. The answer is rational. So, which answer would you choose?

10. Valpey

??????