Radical Operations

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 the expression 2√7 + √28?

Back

Combine like terms: √28 = √(4*7) = 2√7, so 2√7 + 2√7 = 4√7.

Front

What is the product of √28 and √3?

Back

√28 * √3 = √(28*3) = √84 = 2√21 after simplification.

Front

What is the result of √5 × √10?

Back

√5 × √10 = √(5*10) = √50 = 5√2 after simplification.

Front

How do you simplify the radical expression √(a*b)?

Back

√(a*b) = √a * √b, provided a and b are non-negative.

Front

What is the simplified form of √(16)?

Back

√(16) = 4.

Front

What is the principle of simplifying radicals?

Back

The principle involves breaking down the radicand into its prime factors and simplifying the expression by taking out pairs of factors.

Front

How do you simplify the expression 3√2 + 2√2?

Back

Combine like terms: 3√2 + 2√2 = 5√2.

Front

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

Back

√(x^2) = |x|, where |x| is the absolute value of x.

Front

What is the result of √(a^2 * b)?

Back

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