Add/Subtract Radicals (9.04)

Front

What is a radical?

Back

A radical is an expression that includes a root, such as a square root (√) or cube root (∛).

Front

How do you add radicals with the same index and radicand?

Back

You can add radicals with the same index and radicand by adding their coefficients. For example, @@2 oot{4} + 3 oot{4} = (2 + 3) oot{4} = 5 oot{4}@@.

Front

What is the process for simplifying @@ oot{20}@@?

Back

Front

What is the result of @@ oot{5} + oot{20}@@?

Back

The result is @@ oot{5} + oot{20} = oot{5} + 2 oot{5} = 3 oot{5}@@.

Front

How do you subtract radicals?

Back

To subtract radicals, ensure they have the same index and radicand, then subtract their coefficients. For example, @@3 oot{2} - 2 oot{2} = (3 - 2) oot{2} = 1 oot{2}@@.

Front

What is the result of @@4 oot{40} - oot{20} - 2 oot{45}@@?

Back

The result is @@4 oot{40} - oot{20} - 2 oot{45} = 8 oot{10} - 8 oot{5}@@.

Front

What is the simplified form of @@2 oot{5} + 4 oot{5}@@?

Back

The simplified form is @@2 oot{5} + 4 oot{5} = 6 oot{5}@@.

Front

What is the rule for combining like radicals?

Back

Like radicals can be combined by adding or subtracting their coefficients. For example, @@5 oot{3} + 2 oot{3} = 7 oot{3}@@.

Front

What does it mean for radicals to be 'like' terms?

Back

Front

How do you simplify @@ oot{45}@@?

Back