Radicals Operations

Front

What is the product of √5 and √10?

Back

5√2

Front

What is the simplified form of √3 × √15?

Back

3√5

Front

How do you simplify the expression 2√40 - 3√10?

Back

√10

Front

What is the result of √a × √b?

Back

√(a × b) for a, b ≥ 0.

Front

What is the value of √(x^2)?

Back

|x|, where x is any real number.

Front

What is the principle of simplifying square roots?

Back

Combine like terms and factor out perfect squares.

Front

What is a perfect square?

Back

A number that can be expressed as the square of an integer.

Front

How do you simplify √(a^2 × b)?

Back

a√b, where a ≥ 0.

Front

What is the result of √(x^2 + y^2)?

Back

It cannot be simplified further without specific values for x and y.

Front

What is the formula for the difference of squares?

Back

a^2 - b^2 = (a - b)(a + b).