Pythagorean Theorem (& Simplify Radicals)

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 type of triangle can the Pythagorean Theorem be used with?

Back

The Pythagorean Theorem can only be used with right triangles.

Front

Solve for x: x² + 16 = 64. Simplify your radical answer completely.

Back

x = 4√3.

Front

What is a radical expression?

Back

A radical expression is an expression that includes a root, such as a square root, cube root, etc.

Front

How do you simplify √(a*b)?

Back

√(a*b) = √a * √b.

Front

Solve for x: 2x² = 32. Simplify your radical answer completely.

Back

x = 4.

Front

What is the approximate value of √115?

Back

√115 ≈ 10.7.

Front

Solve for x: x² = 41. Simplify your radical answer completely.

Back

x = √41.

Front

What is the first step in solving a radical equation?

Back

The first step is to isolate the radical on one side of the equation.

Front

What does it mean to simplify a radical?

Back

To simplify a radical means to express it in its simplest form, removing any perfect squares from under the radical sign.