Daily Task 2: Mind Map

Daily Task 2: Mind Map

1. When you simplify a radical such as √216, you first rewrite 216 as it's prime factors. The next step would be to group the prime factors into pairs. Then you'd write them in exponent form. Then you would use the given formula √x^2=x. using that formula you would get the answer 6√6

2. Adding & Subtracting Radicals

   • When you add or subtract radicals, first you would need to simplify the radicals and then add or subtract them. To add or subtract radicals, they have to have the same radical part.
     • For Example: √12 + √27. First you would simplify the radicals into 2√3 + 3√3. Then you simply add them together and the √3 would stay the same, the only thing you add is the 2 and the 3 which are outside. So you're answer would be 5√3.

3. Multiplying Radicals

   • When you multiply radicals there are two different was of doing it, let's use the problem √72 * √12. The first way you could solve this is by simply multiplying √72 by √12 to get √864. The next step is to find the factors of 864. Preferably you want to find a factor with the largest possible perfect square. The factors that we can use easily are √144 * √6. Then you simplify, and you're left with 12√6
     • The second way you could do this is to not multiply the two radicals, and just go straight into simplifying them. First you would simplify √72 into √36 * √2. then you would simplify √36 into just 6, since it's a perfect square. Then you're left with 6√2. Next you have do deal with √12, which isn't hard since 4*3=12 and so you have √4 * √3. Simplify, and you have 2√3 * 6√2. Next you multiply the outside numbers by themselves and the same with the inside numbers. Your answer is 12√6.