Algebra - Ch 10 - Pythagorean Theorem & 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). Formula: a² + b² = c².

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 square factors from under the radical sign.

Front

What is a radical?

Back

A radical is a symbol (√) that represents the root of a number, most commonly the square root.

Front

How do you simplify √(a*b)?

Back

√(a*b) = √a * √b, provided that a and b are non-negative.

Front

What is the square root of 16?

Back

The square root of 16 is 4.

Front

What is the square root of 25?

Back

The square root of 25 is 5.

Front

How do you multiply radicals?

Back

To multiply radicals, multiply the numbers outside the radicals and the numbers inside the radicals separately. Example: √a * √b = √(a*b).

Front

What is the simplified form of √(36)?

Back

The simplified form of √(36) is 6.

Front

What is the result of -3√20 - √5?

Back

The result is -7√5.

Front

What is the product of 6√2 and 5√14?

Back

The product is 60√7.