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 √128?

Back

8√2

Front

What is the simplified form of √48?

Back

4√3

Front

What is the simplified form of √300?

Back

10√3

Front

What is the simplified form of √24?

Back

2√6

Front

What does it mean to simplify a radical expression?

Back

Simplifying a radical expression means rewriting it in its simplest form, removing any perfect square factors from under the radical.

Front

What is the product property of square roots?

Back

The product property states that √(a * b) = √a * √b for any non-negative numbers a and b.

Front

What is the quotient property of square roots?

Back

The quotient property states that √(a / b) = √a / √b for any non-negative numbers a and b, where b ≠ 0.

Front

How do you handle square roots of fractions?

Back

To simplify the square root of a fraction, take the square root of the numerator and the denominator separately: √(a/b) = √a / √b.