Prime Factors
What is a PRIME factor?
PRIME factors are numbers whose only multiples are 1 and itself
Simplify as far as possible √49
7
Multiply and Simplify √3 * √2
√6
How do you get rid of a radical in your denominator?
Multiply top AND bottom by that radical! It creates a whole number on the bottom and the top is treated like a regular multiplication problem.
Combine like terms and Simplify
3√7+8√7
11√7
List the PRIME factors for 54
2, 3, 3, 3
Simplify as far as possible √50
5√2
Multiply and Simplify
√15*√5
√75
√25*3
5√3
Simplify as far as possible
√9
√25
(read as the square root as 9/25)
√9
√25
3/5
Combine like terms and Simplify
4√5 + 3√7 - 7√5 +6√7
-3√5 + 9√7
List the PRIME factors of 71
1, 71 (it's prime!)
Simplify as far as possible 2√40
2*2√10
4√10
Multiply and Simplify
2√3 * √8
2√24
2√4*6
2*2√6
4√6
Simplify as far as possible
√14
√16
√14
4
Combine like terms and Simplify
5√3 + 2√27
5√3 + 2*3√3
5√3 + 6√3
11√3
List the PRIME factors of 450
2, 3, 3, 5, 5
Simplify as far as possible √43w2
w√47
Multiply and Simplify
3√6 * 2√30
6√180
6√9*4*5
6*3*2√5
36√5
Simplify as far as possible
√25
√6
5
√6
_5_ * √6
√6 *. √6
5√6
6
Combine like terms and Simplify
10√5 +8√3 + 2√11 + √45 - √99
10√5 + 8√3 + 2√11 + 3√5 -3√11
13√5 + 8√3 - 1√11
List the PRIME factors of 99x3y4
3, 3, 11, x, x, x, y, y, y, y
Simplify as far as possible √99x3y4
√3*3*11*x*x*x*y*y*y*y
3*x*y*y√11*x
3xy2√11x
Multiply and Simplify
3√10 * 4√40
3*4√10*40
12√400
12*20
2400
Simplify as far as possible
√48
√24
4√3
2√6
4√3 * √6
2√6 * √6
4√18 ---------------> 4*3√2 -------> 12√2 ----->√2
2*6 ------------------------------------->12
Combine like terms and Simplify
4√3x + 2√75y - 2√3y + 2√12x
4√3x + 2*5√3y - 2√3y + 2*2√3x
4√3x + 10√3y - 2√3y + 4√3x
8√3x + 8√3y