hello! i have a equation and i would like to know if it’s right, let me post it rn

Question

FriskIsNice · Answer

attachment

Chloeisdum · Answer

the first one is rational because you can divide the two numbers

Chloeisdum · Answer

The second one, what do you think the answer is?

Vocaloid · Answer

Politely disagree w/ the previous response.

When it comes to square roots, if the number inside the square root (the radicand) is a perfect square, it's rational. so for the first problem, it's rational because 9 is a perfect square. 3 * sqrt(9) = 3 * 3 = 9

For the second problem, 3 is not a perfect square, so sqrt(3) is irrational, and therefore 9sqrt(3) is irrational.

@friskisnice can you try the third and fourth problems using this same logic?

1 attachment