How do you estimate the square root of a number?

To estimate the square root, find two perfect squares it lies between and then determine a value between them. For example, $$\sqrt{50}$$ is between 7 (since 7^2 = 49) and 8 (since 8^2 = 64).

If $$x^2 = 64$$ , what is $$x$$ ?

$$x = 8$$ or $$x = -8$$ (since both 8 and -8 squared equal 64).

What is the relationship between square roots and perfect squares?

A perfect square is a number that can be expressed as the square of an integer. The square root of a perfect square is always an integer.

How can you check if your square root estimation is correct?

Square your estimated value and see if it is close to the original number. For example, if you estimate $$\sqrt{50}$$ as 7.1, then check if 7.1^2 is close to 50.

Estimating Square Roots Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a square root?

Back

A square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 9 is 3 because 3 x 3 = 9.

2.

FLASHCARD QUESTION

Front

What is the square root of 81?

Back

9

3.

FLASHCARD QUESTION

Front

Which number has a square root that is between 9 and 10?

Back

90

4.

FLASHCARD QUESTION

Front

Back

10 and 11

5.

FLASHCARD QUESTION

Front

Which irrational number falls between 14 and 15 on a number line?

Back

6.

FLASHCARD QUESTION

Front

Which number has a square root that is between 3 and 4?

Back

14

7.

FLASHCARD QUESTION

Front

Back

15 and 16

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