What is the best estimation for $$\text{sqrt(6)}$$ ?

The best estimation for $$\text{sqrt(6)}$$ is 2.4, as it lies between the perfect squares 4 (2^2) and 9 (3^2).

What is the best estimation for $$\text{sqrt(110)}$$ ?

The best estimation for $$\text{sqrt(110)}$$ is 10.5, as it lies between the perfect squares 100 (10^2) and 121 (11^2).

Which two perfect squares are between 15?

The perfect squares between 15 are 9 (3^2) and 16 (4^2). Therefore, $$\text{3 and 4}$$ are the two numbers.

What is the best estimation for $$\text{sqrt(15)}$$ ?

The best estimation for $$\text{sqrt(15)}$$ is 3.9, as it lies between the perfect squares 9 (3^2) and 16 (4^2).

What is the square root of 49?

The square root of 49 is 7, since 7 x 7 = 49.

What is the square root of 25?

The square root of 25 is 5, since 5 x 5 = 25.

How can you check if a number is a perfect square?

To check if a number is a perfect square, find its square root and see if it is an integer. If it is, then the number is a perfect square.

What is the approximate value of $$\text{sqrt(50)}$$ ?

The approximate value of $$\text{sqrt(50)}$$ is about 7.1, as it lies between 7 (7^2) and 8 (8^2).

What is the significance of estimating square roots?

Estimating square roots helps in simplifying calculations and understanding the size of numbers without needing a calculator.

What is the relationship between square roots and perfect squares?

The square root of a perfect square is always an integer, while the square root of a non-perfect square is an irrational number.

Estimating Square Roots Flashcards

Student preview

15 questions

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1.

FLASHCARD QUESTION

Front

What is a non-perfect square?

Back

A non-perfect square is a number that cannot be expressed as the square of an integer. For example, 2, 3, 5, and 6 are non-perfect squares.

2.

FLASHCARD QUESTION

Front

What is the square root of a number?

Back

The 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.

Tags

CCSS.8.EE.A.2

3.

FLASHCARD QUESTION

Front

How do you estimate the square root of a non-perfect square?

Back

To estimate the square root of a non-perfect square, find the two perfect squares it lies between and then approximate the value.

Tags

CCSS.8.NS.A.2

4.

FLASHCARD QUESTION

Front

Which two perfect squares are between 60?

Back

Tags

CCSS.8.NS.A.2

5.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.8.NS.A.2

6.

FLASHCARD QUESTION

Front

Which two perfect squares are between 111?

Back

Tags

CCSS.8.NS.A.2

7.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.8.NS.A.2

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