Radical Operations

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 √a ⋅ √b?

Back

√a ⋅ √b = √(a*b) if a and b are non-negative.

Front

What is the product of √2 and √8?

Back

√2 ⋅ √8 = √(2*8) = √16 = 4.

Front

What is the simplified form of √(x^2)?

Back

|x| (the absolute value of x).

Front

How do you simplify √(a^2b)?

Back

√(a^2b) = a√b, where a is non-negative.

Front

What is the result of 3√2 - 3√18?

Back

-6√2.

Front

What is the simplified form of √10 ⋅ √45?

Back

15√2.

Front

What is the result of 6√2 ⋅ 5√14?

Back

60√7.

Front

How do you simplify √4(√5 - 3√4)?

Back

2√5 - 12.