multiply (2 sqrt 7 -5 sqrt 3)(8 sqrt7-5 sqrt 3)
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multiply (2 sqrt 7 -5 sqrt 3)(8 sqrt7-5 sqrt 3)
(2 sqrt 7 -5 sqrt 3)(8 sqrt7-5 sqrt 3)
112 - 50(sqrt 21) + 75
187 - 50(sqrt 21)
why does that matter,and apparently is college math 209. If you all do not want to assist with the math questions then maybe you should consider not anwering instead asking irrevelent questions, people really need assistance with the posted questions, not questions that really does not matter, if you want to help, help it not just all back and let those who really like helping, help us who are in need!
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Anonymous,
I am sure you will have questions later as well. Be sure to use the subject "grammar" when posting. :-)
To multiply the two expressions (2√7 - 5√3)(8√7 - 5√3), we can use the distributive property of multiplication over addition.
First, multiply the first terms of each expression:
2√7 * 8√7 = 16(√7)(√7) = 16(7) = 112
Next, multiply the outer terms:
2√7 * -5√3 = -10(√7)(√3) = -10√21
Then, multiply the inner terms:
-5√3 * 8√7 = -40(√3)(√7) = -40√21
Finally, multiply the last terms:
-5√3 * -5√3 = 25(√3)(√3) = 25(3) = 75
Now, add up all the results:
112 - 10√21 - 40√21 + 75
Combine the terms that have the same radical, in this case, √21:
112 - 10√21 - 40√21 + 75 = 187 - 50√21
So, the product of (2√7 - 5√3)(8√7 - 5√3) is 187 - 50√21.