Ch 7 - Square/Cube Roots, Pythagorean Theorem, Distance Formula

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 16 is 4, because 4 x 4 = 16.

Tags

CCSS.8.EE.A.2

Front

What is a cube root?

Back

A cube root of a number is a value that, when multiplied by itself three times, gives the original number. For example, the cube root of 27 is 3, because 3 x 3 x 3 = 27.

Tags

CCSS.8.EE.A.2

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 is expressed as: a² + b² = c².

Tags

CCSS.8.G.B.8

Front

How do you identify the hypotenuse in a right triangle?

Back

The hypotenuse is the longest side of a right triangle, opposite the right angle.

Front

What is the Distance Formula?

Back

The Distance Formula is used to determine the distance between two points (x1, y1) and (x2, y2) in a coordinate plane. It is given by: d = √((x2 - x1)² + (y2 - y1)²).

Tags

CCSS.HSG.GPE.B.7

Front

Evaluate: √729

Back

27

Tags

CCSS.8.EE.A.2

Front

Evaluate: 3√8

Back

6

Front

If a right triangle has legs of length 8 and 15, what is the length of the hypotenuse?

Back

17 (using the Pythagorean Theorem: 8² + 15² = 17²).

Tags

CCSS.8.G.B.7

Front

Simplify: √(49)

Back

7

Tags

CCSS.8.EE.A.2

Front

Evaluate: √(25) + √(16)

Back

9 (5 + 4).