Estimating and Comparing Square Roots Answers

Answer as a fraction. Do not include spaces in your answer.

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Answer as a decimal.

Explain why the following problem will have an irrational answer.

Therefore, the sum of two rational numbers will always be .

When you add two rational numbers, each number can be written as a .

Answer as a fraction. Do not include spaces in your answer.

Answer as a decimal with four decimal places.

Without calculating the sum, determine whether each answer will be rational or irrational.

Without finding the product, determine whether each product will be rational or irrational.

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All of the numbers in these multiplication problems are rational, which means that each of these numbers can be written as a

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Since the answers to these problems can be written as fractions, the answers are

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This shows that the product of two rational numbers will always be