Math Help !?

Question

Is the square root of 13 (sqrt13) rational or irrational ?

How do I use a calculator to do this problem

sqrt(3/5)

and Finally ....

How do I simplify sqrt500. How do I express my answer in radical form not decimal form???

Answer 1

sqrt(13) is irrational. Indeed, every square root (of a number that isn't a perfect square) is irrational.

sqrt(3/5) = sqrt(0.6). On a calculator, I would do this as 0.6^0.5, since raising to the 0.5 power is the same thing as taking a square root.

sqrt(500) = sqrt(100*5) = sqrt(10*10*5) = 10*sqrt(5).

Hopefully that helps!

Answer 2

1) The square root of a prime number is always irrational

2) divide 3 by 5 as normal then hit square root key

3) sqrt(500) = sqrt (4*25*5) = 2*5*sqrt(5) = 10sqrt(5)