Simplify (2 sqrt(5) + 3 sqrt(7))^2
\[(2 \sqrt{5} + 3 \sqrt{7})^{2}\]
(a+b)^2 = a^2 + 2ab + b^2 expand the brackets above using that formula
be careful of brackets - it's (2sqrt(5))^2 for example
@MrNood is doing a good job.
You can use the square of a binomial pattern he showed you, or you can just use FOIL.
You are close, but you need to be careful with the parentheses. @MrNood mentioned that too. \((2\sqrt5)^2 + 2 \times 2\sqrt5 \times 3\sqrt7 + (3\sqrt7)^2 \)
ITS NOT CLOSED that was on accident
I can still medal since i havent yet
Ok, now you can square the first and last terms, and multiply out the middle term.
How do i square the first and last terms?
Square the number that multiplies the root. Then square the root, which is just the number without the root. Then you multiply them together. \((2\sqrt5)^2 + 12 \sqrt{35} + (3\sqrt7)^2\) \(= 4 \times 5 + 12\sqrt{35} + 9 \times 7\)
iif i have to leave suddenly please dont leave ill be back on in like 3 minutes if it happens just stay if i do
I already had a loss of connection, and soon I need to leave.
@Darealest123
So If you cant add it together how do you simplify, does it mean not to simplify all the way down to one number?
The answer is: \(= 20 + 12\sqrt{35} + 63\) \(= 83 + 12\sqrt{35}\) That is the final answer.
The second equation is the final answer? i need it in steps so i can write it so im trying to figure that out
@mathstudent55
nvm i figured it out here is the medal thank you so much
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