Approximating Square Roots

Front

What is a square root?

Back

A square root of a number x is a value y such that y² = x. For example, the square root of 9 is 3 because 3² = 9.

Front

How do you approximate square roots of non-perfect squares?

Back

To approximate square roots of non-perfect squares, identify the two perfect squares between which the number lies and estimate the value based on their square roots.

Front

What are the perfect squares between which √28 lies?

Back

The perfect squares are 25 (5²) and 36 (6²), so √28 lies between 5 and 6.

Front

What is the value of √25?

Back

The value of √25 is 5.

Front

What is the value of √36?

Back

The value of √36 is 6.

Front

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

Back

A number is a perfect square if it can be expressed as the product of an integer with itself.

Front

What is the approximate value of √28?

Back

The approximate value of √28 is about 5.29.

Front

What is the method of estimating square roots called?

Back

The method of estimating square roots is often referred to as 'number line estimation' or 'interval estimation'.

Front

What is the significance of knowing the approximate value of a square root?

Back

Knowing the approximate value of a square root helps in estimating calculations and solving problems involving square roots without a calculator.

Front

How can you use a number line to approximate square roots?

Back

You can plot the perfect squares on a number line and find the position of the non-perfect square to estimate its square root.