Math 2: Radicals pt.2

√ 125n

1,125 5,25 Answer: 5,25

Perfect square

a number multiply by itself

Add and Subtract Radical expressions

first step is to add the thingys inside the square root signs but if they aren't the same then you will have to simplify the biggest one to make it like the other one. After simplifying you then you multiply the number on the outside and then you add all the numbers with the ones that they go to.

Simplify radical expressions

list out all the factors of the number and find the biggest square root. After finding the square root of the number put it into a radical expression.

Multiply Radical expression

multiplying expressions are very easy. First of all you multiply the numbers on the inside. After that you find the factors for it and the factors that are chosen, one of them has to be a perfect square.

a2+a2=a4 a4=(a4)½ =a2

That's is how to find exponent answer when exponents are in the Multiply Radical expression. this is an example though.

Multiply Radical expression: with exponent

When there is an exponent with the numbers like the one above (hard one) you wait to do the exponents till after you find the equation thing. When an exponent is in front of a square root sign, you multiply it by 2 since the number gets times by itself.

( easy) √5 * √10 √150 / \ √25 √6 5√6

step 1: multiply the things inside the square root things. step 2: find the factors that fit bests and one has to be a factor. step 3: after all that just bring down, the perfect square and put it on the outside of the square root sign.

For example: 2√6 + 3 √54 / ∖ √9 √6 3√6 2√6+3√6 2√6+9√6 11√6

step 1: simpfly the 54 step 2: find the perfect square of 9 which is 3 step 3: at this point you have to multiply the 3 that is with the 54, which is 9 step 4: add the 2√6+9√6 which is 11√6