Algebra Quiz 1 8th Review

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.

299.321876954297608697348...

• Rational

• irrational

26.548

• Rational

• irrational

6.8989898989...

• Rational

• irrational

• Rational

• irrational

• Rational

• irrational

Simplify:  (5p⁹q³)(2pq⁷)

• 7p¹⁰q¹⁰
• 10p⁹q²¹
• 10p¹⁰q¹⁰
• 10p⁸q^-4

Simplify:

• 
• 
• 
• 

Simplify:

• 3k⁹

• ^k/₃

• ^k/₆

• 6k