7th review radicals, pythag, 454590306090

Front

What is a radical in mathematics?

Back

A radical is a symbol used to indicate the root of a number, most commonly the square root.

Front

What is the square root of 16?

Back

4

Front

How do you simplify √48?

Back

√48 = √(16 * 3) = √16 * √3 = 4√3.

Front

What is the Pythagorean theorem?

Back

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): c² = a² + b².

Front

What is the square root of 25?

Back

5

Front

How do you simplify √32?

Back

√32 = √(16 * 2) = √16 * √2 = 4√2.

Front

What is the value of √(a^2) where a is a positive number?

Back

a.

Front

If a triangle has sides of length 3 and 4, what is the length of the hypotenuse?

Back

5 (using the Pythagorean theorem: 3² + 4² = 9 + 16 = 25, √25 = 5).

Front

What is the square root of 1?

Back

1.

Front

How do you find the length of a side in a right triangle if you know the lengths of the other two sides?

Back

Use the Pythagorean theorem: c = √(a² + b²) for the hypotenuse, or a = √(c² - b²) for one leg.