Simplify negative radicals

Front

What is the definition of a negative radical?

Back

A negative radical is the square root of a negative number, which can be expressed in terms of imaginary numbers using 'i', where i = √-1.

Front

How do you simplify √-1?

Back

√-1 simplifies to i.

Front

What is the process for simplifying √-a where a is a positive real number?

Back

To simplify √-a, factor out -1: √-a = √(-1) * √a = i√a.

Front

What is the simplified form of √-28?

Back

√-28 simplifies to 2i√7.

Front

How do you simplify √-9?

Back

√-9 simplifies to 3i.

Front

What is the value of i^2?

Back

i^2 = -1.

Front

How do you simplify i raised to a power, such as i^25?

Back

To simplify i^25, divide the exponent by 4 and use the remainder: i^25 = i^(4*6 + 1) = i.

Front

What is the simplified form of 3√-72?

Back

3√-72 simplifies to 18i√2.

Front

How do you simplify √-45?

Back

√-45 simplifies to 3i√5.

Front

What is the relationship between complex numbers and negative radicals?

Back

Complex numbers are used to express the square roots of negative numbers, allowing for simplification of negative radicals.