Radicals are Radical!

Front

What is a radical in mathematics?

Back

A radical is a symbol that represents the root of a number, most commonly the square root.

Front

What is the square root of 25?

Back

5

Front

How do you simplify √50?

Back

√50 = √(25 * 2) = 5√2

Front

What is the value of √(x^2) when x = 4?

Back

4

Front

What does it mean to solve an equation with radicals?

Back

It means to find the value(s) of the variable that make the equation true, often involving isolating the radical.

Front

What is the principal square root of a number?

Back

The principal square root is the non-negative root of a number.

Front

Solve: √(d^2) = 16. What are the possible values of d?

Back

d = 16 or d = -16.

Front

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

Back

|a| (the absolute value of a).

Front

Solve: √(x + 3) = 5. What is x?

Back

x = 22.

Front

What is the difference between rational and irrational numbers?

Back

Rational numbers can be expressed as a fraction of two integers, while irrational numbers cannot be expressed as a simple fraction.