Simply Radical!The tale of square roots

Solve the following root:

Solve the following root:

Steps in Simplifying Square Roots

Factor the radicand using perfect squares.

Take the square root of the perfect square and leave the other factor inside as the radicand.

If you pull out a perfect square when another number is already in front of the square root, the two numbers are multiplied

Try it!

Multiplying Square Roots

Multiply the numbers outside the radical together and separately multiply the numbers inside the radicalSimplify using the prior method

How ‘bout it?

What about variables!!??

Write variables in long notationi.e:For every two variables inside the radical, one pulls out front of the radical.

Add/Subtract Roots

Rule: You can only add/subtract square roots if the two terms have the same radicand.

Simplify both square roots first and see if they combine

Example

Try it!

How ‘bout this one!

Remember FOIL?

Do Now: Multiply, then Simplify

Dividing Square Roots

QUE!!!

QUE!!!

Math is

Tangram Time!

See the power of the Square Root!!!