Square Root Basics

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What is the definition of a square root?

A square root of a number is a value that, when multiplied by itself, gives the original number.

What is the square root of 9?

The square root of 9 is 3.

How is the square root symbol written?

The square root symbol is written as '√'.

What is √16?

√16 is 4.

Is the square root of a negative number real?

No, the square root of a negative number is not real; it is imaginary.

What is √25?

√25 is 5.

Which number squared results in 36?

6 squared results in 36.

What is the principal square root?

The principal square root refers to the non-negative root of a number.

Can a number have more than one square root?

Yes, a positive number has two square roots: one positive and one negative.

What is the square root of 1?

The square root of 1 is 1.

What is √0?

√0 is 0.

How do square roots relate to exponents?

Taking a square root is the same as raising a number to the power of 0.5.

Is √4 the same as 2?

Yes, √4 is 2.

What is the square root of 100?

The square root of 100 is 10.

How do you estimate a non-perfect square root?

By finding the two perfect squares it's between and guessing based on their difference.





Test Your Knowledge

Select the correct option


1. What is the definition of a square root?

A square root of a number is a value that, when multiplied by itself, gives the original number.

A square root is the cube of a number.

A square root divides the number evenly into four parts.

A square root is the result of adding a number to itself.

2. What is the square root of 9?

4

5

3

6

3. How is the square root symbol written?

Σ

π

Δ

4. What is √16?

4

8

3

5

5. Is the square root of a negative number real?

No, the square root of a negative number is not real; it is imaginary.

Yes, negative numbers have real square roots.

Only sometimes, depending on the context.

Negative square roots are real and positive.

6. What is √25?

6

4

5

7

7. Which number squared results in 36?

12

6

8

10

8. What is the principal square root?

The negative square root of a number.

The principal square root refers to the non-negative root of a number.

Any square root of a number.

The root that is cubed.

9. Can a number have more than one square root?

Yes, a positive number has two square roots: one positive and one negative.

No, each number has only one distinct square root.

Yes, but only even numbers have more than one square root.

Only irrational numbers have multiple square roots.

10. What is the square root of 1?

0

2

1

0.5

11. What is √0?

0

1

0.5

-1

12. How do square roots relate to exponents?

Taking a square root is the same as raising a number to the power of 0.5.

Taking a square root is the same as raising a number to the power of 2.

Taking a square root is like subtracting 1 from the exponent.

Square roots are unrelated to exponents.

13. Is √4 the same as 2?

No, √4 is -2.

Yes, √4 is 2.

It depends on the context.

No, √4 is 4.

14. What is the square root of 100?

9

5

10

8

15. How do you estimate a non-perfect square root?

By finding the two perfect squares it's between and guessing based on their difference.

By halving the number and squaring it.

By multiplying by 0.5 and adding 1.

By rounding it to the nearest whole number.