Irrational

Which statement is Always true?

• Any irrational number added to any rational number is equal to a rational number.

• Any irrational number added to any irrational number is equal to a rational number.

• Any irrational number multiplied by any non-zero rational number is equal to a rational number.

• Any irrational number multiplied by any non-zero rational number is equal to an irrational number.

A rectangle has side lengths of 3 inches and √5 inches. Which statement must be true about the area of the rectangle?

• It is a rational number because the product of the side lengths is the rational number 15.

• It is an irrational number because the product of the side lengths is 3√5 an irrational number.

• It is a rational number because the product of √5 and √5 results in 5, a rational number.

• It is an irrational number because the product of the side lengths is √15 an irrational number.

• Rational 

• Irrational 

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 nonzero rational and an irrational is always irrational.

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 nonzero rational and an irrational is always irrational.

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 nonzero rational and an irrational is always irrational.

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 nonzero rational and an irrational is always irrational.

Is the result rational or irrational? Explain.

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

• Sometimes rational, sometimes irrational; The sum of two irrationals is sometimes rational, sometimes irrational.

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

• Sometimes rational, sometimes irrational; The product of two irrationals is sometimes rational, sometimes irrational

What type of number is π ?

• Rational

• Irrational

√7

• Rational 

• Irrational

• real

• fake