Radical

The whole equation is called the radical.

C is the radicand, this must be the same as the other radicand to be able to add and subtract.

Simplify the Nth root

Some examples are

All you do to solve this one is to take the 5 and multiply it by itself

For this one you times 2 by itself than you multiply that number by 2

Same as previous but you do it one more time than before

Simplify the radical

5 25

5 5 5

=

First find two numbers that 125 goes into

Second find two numbers that 25 go into

Third thing to do in this problem is to look at the index to find out how many, in this case 5’s to make one answer.

Last thing is to find the answer.

Multiply

2

First you turn the two problems to one

Second you multiply the two inside numbers

Third simplify the radicand.

finally take three of the same numbers and move them to the outside. Then put the last number back in as the radicand.

That will give you this as the answer

divideFirst you will divide the two radicands.

That will give you the answer of 9 in the radicand

Next you will split the radicand.

That will give you the answer 3

This one will show you what to do if you cant divide.

First you will times both of the fractions by the denominator

This will give you the square root of 35 over 5

Adding

22

= 24

First simplify the 8 since you can

Now the 4

Since there is no number shown there it is a 2.

Now take two of the twos and times it by the 3 to make 6 and the other two stays on the inside Now you can add them since they

both have the same radicand

That gives you the answer of 11 square root of 2

subtracting First simplify all that you can.

Now take two from each and times it by the outside number and the remaining number is then put on the inside.

This is how it should look when it is done. Now you should subtract the

two outside numbers with the same radicand.

That will leave you with the answer 10 to the square root of 2 plus 2 to the square root of 3.

Work citedhttp://www.purplemath.com/modules/radicals3.htm

http://regentsprep.org/REgents/math/ALGEBRA/AO1/Laddsubt.htm