Radicals 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 √a * √b?

Back

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

Front

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

Back

The simplified form is |a|, which is the absolute value of a.

Front

What is the process to simplify √(m/n)?

Back

√(m/n) = √m / √n, provided n is not zero.

Front

How do you simplify a radical expression like √(x^2y)?

Back

√(x^2y) = x√y, assuming x is non-negative.

Front

What is the result of √(x^2) when x is negative?

Back

The result is -x, since the square root of a square is the absolute value.

Front

How do you combine like radicals?

Back

Like radicals can be combined by adding or subtracting their coefficients, e.g., a√b + c√b = (a+c)√b.

Front

What is the simplified form of √(12)?

Back

The simplified form is 2√3.

Front

How do you rationalize the denominator of a fraction like 1/√a?

Back

Multiply the numerator and denominator by √a to get √a / a.

Front

What is the result of (√a)^2?

Back

The result is a, assuming a is non-negative.