Operations on rational numbers

• Rational

• Irrational

Rational or Irrational: √55 x 3

• rational
• irrational

 $\sqrt{\frac{1}{4}}\cdot\sqrt{121}$  

Is the result rational or irrational? Explain.

• Rational; The sum of two rationals is always rational.

• Irrational; The sum of a rational and an irrational is always irrational.

• Rational; The product of two rationals is always rational.

• Irrational; The product of a  rational and an irrational is always irrational.

Multiplication of rational and irrational numbers...Rational/Irrational

• Rational

• Irrational

• Depends

16

• rational

• irrational

• Rational

• Irrational

√5 is an irrational number. Which of the following operations on it will give a rational number?

• Multiplying by $\sqrt{5}$ and then adding $\sqrt{5}$ .

• adding $\sqrt{5}$ and then multiplying by $\sqrt{5}$ .

• adding $\frac{1}{\sqrt{5}}$ to it.

• multiplying it by $\sqrt{9}$

1.      Select each box in the table where the numbers from corresponding rows and columns will have a rational sum.

12 3/4

• Rational

• Irrational

9.33

• Rational 
• Irrational