How to simplify radicals?

A radical is also known as a 'Square root' of a number. The objective is to get the radical to it's lowest term.

First you'll have to know the basic perfect squares:

1

4(2x2)

9(3x3)

16(4x4)

25(5x5)

36(6x6)

49(7x7)

64(8x8)

81(9x9)

100(10x10)

121(11x11)

144(12x12)

169(13x13)

196(14x14)

After you've acknowledged those you can simplify radicals.

examples:

(Beginner)

√9 = 3

√64 = 8

√81 = 9

(More difficult)

√8 = ?

8 is not a perfect square so you will need to use factors.

√8 = √4 times √2

Then you know that 4 is a perfect square and simplifies to 2.

Your answer will be 2 √2.