Multiply. Assume that m is non negative.
(7 √3 + √3m) (√m - 9)
[]a. 8 √3 + √3m - 9√m
[]b. 21 - 63√m + √3m + m
[]c. -63√3 + m√3
[]d. -2√3m - 63√3 + m√3
I am so hopeless with this. I go to an online school and the math programs sucks. I have no idea what to do and my finals are coming up. Can someone please explain how you do a problem like this.
(7 √3 + √3m) (√m - 9)
[]a. 8 √3 + √3m - 9√m
[]b. 21 - 63√m + √3m + m
[]c. -63√3 + m√3
[]d. -2√3m - 63√3 + m√3
I am so hopeless with this. I go to an online school and the math programs sucks. I have no idea what to do and my finals are coming up. Can someone please explain how you do a problem like this.
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Ok, so the answer is D.
Here's what you do:(btw this is called the foiling method, where you take the first two things in the parentheses and multiply them by each of the two components in the second set of parentheses)
1) First, multiply 7√3 times √m which equals 7√3m. In case you're not sure how I got that, here's how it works: you multiply the outsides with the outsides( so 7 times 1) , and you multiply what's inside the square roots( so 3 times m)
2) Second, multiply 7√3 times -9 which equals -63√3.
3) Third, multiply √3m times √m which is √3m squared(or m√3 because the square root of m squared is m).
4)Fourth, you multiply √3m times -9 which is -9√3m
5)Fifth, you take all your results and add them up together. So, you should get 7√3m + -63√3+ m√3 + -9√3m.
6)Then, you simplify. Since 7√3m and -9√3m have bothe have the same thing under the radical they can be added. So they simplify down to -2√3m
7) So, the final answer is: -63√3 + m√3 + -2√3m (they can be arranged in any order)
Ok, so that's it. I hope I didn't confuse you any further (:
Here's what you do:(btw this is called the foiling method, where you take the first two things in the parentheses and multiply them by each of the two components in the second set of parentheses)
1) First, multiply 7√3 times √m which equals 7√3m. In case you're not sure how I got that, here's how it works: you multiply the outsides with the outsides( so 7 times 1) , and you multiply what's inside the square roots( so 3 times m)
2) Second, multiply 7√3 times -9 which equals -63√3.
3) Third, multiply √3m times √m which is √3m squared(or m√3 because the square root of m squared is m).
4)Fourth, you multiply √3m times -9 which is -9√3m
5)Fifth, you take all your results and add them up together. So, you should get 7√3m + -63√3+ m√3 + -9√3m.
6)Then, you simplify. Since 7√3m and -9√3m have bothe have the same thing under the radical they can be added. So they simplify down to -2√3m
7) So, the final answer is: -63√3 + m√3 + -2√3m (they can be arranged in any order)
Ok, so that's it. I hope I didn't confuse you any further (:
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(7 √3 + √(3m)) (√m - 9)
= 7√3m - 63√3 + √(3m^2) - 9√3m
= -2√3m - 63 √3 + m√3
d) => answer
= 7√3m - 63√3 + √(3m^2) - 9√3m
= -2√3m - 63 √3 + m√3
d) => answer