Simplifying radicals numbers
Simplify √25
5
What is the 1st step of simplifying a radical?
Find the Prime Factors
True or False: You can add radicals as long as the radicands are different.
False, you can only add them if they are the same.
What is the formula for pythagorean theorem?
a² + b² = c²
Simplify √36
6
Where do the pairs of factors go in relation to the radical?
Outside the radical
When do we divide by 3?
When the sum of the digits is divisible by 3
True or False: you can use a² + b² = c² for all triangles
False
Simplify √49
7
Where do the singular or isolated factors go in relation to the radical? I.e. Square root of 20 simplifies to 2, 2, and 5 ... where does the 5 go?
Inside or underneath the radical
When do we divide by 2 when simplifying radicals?
When the number is even.
Which side is the longest in a right triangle?
hypotenuse
Simplify √384
8√6
Simplify √64
8
What happens if you have more than one pair when simplifying radicals?
You multiply them outside of the radical
What are the prime numbers?
1, 2, 3, 5, 7
What are the short sides of the triangle called?
legs
Simplify √108
6√5
Simplify √196
14
When you first begin to simplify the number 64 it breaks down to 8 and 8. This makes the number 64 a...
Perfect Square
When do we divide by 5 outside the radical.
When the number inside the radical ends in 5.
Simplify: √x2
x