8th-Async-11/8-Squares and estimating square roots

Front

What is the definition of a square number?

Back

A square number is an integer that is the square of an integer, meaning it can be expressed as n² where n is an integer.

Front

Calculate 5².

Back

25

Front

What is the square root of 36?

Back

6

Front

True or false? The square root of a number is always positive.

Back

False. The square root can be positive or negative, but the principal square root is defined as the non-negative root.

Front

What is the formula for estimating square roots?

Back

To estimate the square root of a number, find the two perfect squares it lies between and average their square roots.

Front

Calculate 7² + 2².

Back

53

Front

What is the relationship between squares and square roots?

Back

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

Front

If x² = 49, what is x?

Back

x = 7 or x = -7.

Front

What is the square of 0?

Back

0.

Front

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

Back

A number is a perfect square if its square root is an integer.