Multiplying and dividing rational numbers

Rational number times a rational numbers will...

• be either rational or irrational.
• will always be a bigger number than both.
• will not be rational.
• will always be rational.

Rational or Irrational?

½ ⋅ 5

• Rational

• Irrational

Determine if the expression below represents a rational or irrational number. 

 $\sqrt{3}\times\sqrt{2}$  

• Rational Number

• Irrational Number

Let x and y both be irrational numbers.
Select the answer that makes this statement true.
The result of x / y can be 

• rational

• irrational

• both rational and irrational

Multiplication of rational numbers...Closed/Not Closed

• Closed

• Not Closed

6 2/7

• rational

• irrational

Which of the following shows that the quotient of two irrational numbers can be rational?

• $\frac{\sqrt{5}}{2}\div\sqrt{5}$

• $\pi\div\sqrt{5}\pi$

• $\sqrt{2}\div\sqrt{5}$

• $\sqrt{2}\pi\div\frac{\pi}{2}$

Is  $\frac{\sqrt{10}}{\sqrt{5}}$  rational or irrational?

• Rational

• Irrational

Yoko took George's biscuit because they had a fight. George says 97/0 is a rational number. Yoko says it isn't. Who is correct?

Check all the square roots that are rational.

• $-\sqrt{36}$
  

• $\sqrt{39}$
  

• $-\sqrt{196}$

• $\sqrt{148}$

• $-\sqrt{225}$