Simplifying Radicals and i

Front

What is a radical?

Back

A radical is a symbol used to indicate the root of a number, most commonly the square root.

Front

What does it mean to simplify a radical?

Back

To simplify a radical means to express it in its simplest form, removing any perfect square factors.

Front

What is the square root of a negative number?

Back

The square root of a negative number involves the imaginary unit 'i', where i = √-1.

Front

What is the simplified form of √-1?

Back

i

Front

How do you simplify √-a?

Back

√-a = i√a, where a is a positive real number.

Front

What is the simplified form of √-140?

Back

2i√35

Front

How do you simplify 4√75?

Back

4√75 = 20√3.

Front

What is the simplified form of -10√-20?

Back

-10√-20 = -20i√5.

Front

What is the simplified form of √-72?

Back

√-72 = 6i√2.

Front

What is the simplified form of √-150?

Back

√-150 = 5i√6.