Simplifying Radicals

Front

What is a radical in mathematics?

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 a and b are non-negative.

Front

What is the simplified form of √(36)?

Back

6, because 6 * 6 = 36.

Front

What is the process of simplifying radicals?

Back

The process involves breaking down the radical into its prime factors and simplifying it to its lowest terms.

Front

What is the simplified form of √(50)?

Back

5√2, because √(50) = √(25*2) = √25 * √2 = 5√2.

Front

How do you simplify the expression 3√(18)?

Back

3√(18) = 3√(9*2) = 3*3√2 = 9√2.

Front

What is the result of subtracting 3√(2) - 3√(18)?

Back

-6√2, because 3√(18) simplifies to 9√2.

Front

What is the product of (a + b)(a - b)?

Back

a² - b², known as the difference of squares.

Front

How do you multiply radicals?

Back

Multiply the coefficients and then multiply the radicands, then simplify if possible.

Front

What is the simplified form of √(x²)?

Back

|x|, the absolute value of x.