M II 5.1.3 Simplify Radicals - Phase 2 (Version B)

Front

What is a radical in mathematics?

Back

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

Front

How do you simplify a square root?

Back

To simplify a square root, factor the number under the radical into its prime factors and look for pairs of factors. Each pair can be taken out of the radical as a single number.

Front

What is the simplified form of √64?

Back

8, because √64 = √(8*8) = 8.

Front

What is the simplified form of √128?

Back

8√2, because √128 = √(64*2) = √64 * √2 = 8√2.

Front

What is the simplified form of √300?

Back

10√3, because √300 = √(100*3) = √100 * √3 = 10√3.

Front

What is the simplified form of √24?

Back

2√6, because √24 = √(4*6) = √4 * √6 = 2√6.

Front

What is the simplified form of √48?

Back

4√3, because √48 = √(16*3) = √16 * √3 = 4√3.

Front

What is the product of two square roots?

Back

The product of two square roots can be simplified as √a * √b = √(a*b).

Front

What is the quotient of two square roots?

Back

The quotient of two square roots can be simplified as √a / √b = √(a/b).

Front

What is the principle of simplifying radicals?

Back

The principle of simplifying radicals involves expressing the radical in its simplest form by removing perfect squares from under the radical.