How Do You Simplify the Square Root of a Negative Number?

How Do You Simplify the Square Root of a Negative Number?

Note:

Simplifying the square root of a negative number is very similar to simplifying the square root of a positive number. You just need to remember 'i' in your answer! Check out this tutorial to see how to simplify the square root of a negative number.

Keywords:

problem

simplify

square roots

negative numbers

imaginary numbers

i

radicals

Background Tutorials

Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations).

You can't do algebra without working with variables, but variables can be confusing. If you've ever wondered what variables are, then this tutorial is for you!

Use square root and cube root symbols to represent solutions to equations of the form x^2 = p and x^3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational.

Anytime you square an integer, the result is a perfect square! The numbers 4, 9, 16, and 25 are just a few perfect squares, but there are infinitely more! Check out this tutorial, and then see if you can find some more perfect squares!

Interpret parts of an expression, such as terms, factors, and coefficients.

The solution to a quadratic equation can sometimes be an imaginary number! This tutorial shows you how to use the square root method to solve a quadratic equation that has imaginary solutions.