Unit 3 Ch.9 Test 8H: Pythagorean, Exp and Roots

Front

What is the Pythagorean Theorem?

Back

The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). It can be expressed as: a² + b² = c².

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 36 is 6, because 6 x 6 = 36.

Front

Estimate the square root of 80.

Back

Approximately 9, since 9 x 9 = 81, which is close to 80.

Front

What is the area of a square with a side length of 5 cm?

Back

The area of a square is calculated by squaring the length of one side. Area = side² = 5 cm x 5 cm = 25 cm².

Front

What is 12²?

Back

12² = 144.

Front

Solve: √49

Back

7.

Front

If the area of a square is 64 cm², what is the length of one side?

Back

The length of one side is 8 cm, since √64 = 8.

Front

What is the relationship between squares and square roots?

Back

The square of a number is the result of multiplying the number by itself, while the square root is the value that, when squared, gives the original number.

Front

What is the square of 9?

Back

9² = 81.

Front

Solve: √25

Back

5.