I have no idea
I just need points for an answer sorry
The product of (5 sqrt 2-4 sqrt 3)(5 sqrt 2-4 sqrt 3) is ![98-40\sqrt{6}](https://tex.z-dn.net/?f=98-40%5Csqrt%7B6%7D)
Step-by-step explanation:
We need to find product of (5 sqrt 2-4 sqrt 3)(5 sqrt 2-4 sqrt 3)
Writing in mathematical form
![(5\sqrt{2}-4\sqrt{3})(5\sqrt{2}-4\sqrt{3})](https://tex.z-dn.net/?f=%285%5Csqrt%7B2%7D-4%5Csqrt%7B3%7D%29%285%5Csqrt%7B2%7D-4%5Csqrt%7B3%7D%29)
We can write it as:
![(5\sqrt{2}-4\sqrt{3})^2](https://tex.z-dn.net/?f=%285%5Csqrt%7B2%7D-4%5Csqrt%7B3%7D%29%5E2)
Using square formula: ![(a-b)^2=a^2-2ab+b^2](https://tex.z-dn.net/?f=%28a-b%29%5E2%3Da%5E2-2ab%2Bb%5E2)
![=(5\sqrt{2})^2-2(5\sqrt{2})(4\sqrt{3})+(4\sqrt{3})^2\\=(25*2)-2(20\sqrt{2*3})+(16*3)\\=50-40\sqrt{6}+48\\=50+48-40\sqrt{6}\\=98-40\sqrt{6}](https://tex.z-dn.net/?f=%3D%285%5Csqrt%7B2%7D%29%5E2-2%285%5Csqrt%7B2%7D%29%284%5Csqrt%7B3%7D%29%2B%284%5Csqrt%7B3%7D%29%5E2%5C%5C%3D%2825%2A2%29-2%2820%5Csqrt%7B2%2A3%7D%29%2B%2816%2A3%29%5C%5C%3D50-40%5Csqrt%7B6%7D%2B48%5C%5C%3D50%2B48-40%5Csqrt%7B6%7D%5C%5C%3D98-40%5Csqrt%7B6%7D)
So, the product of (5 sqrt 2-4 sqrt 3)(5 sqrt 2-4 sqrt 3) is ![98-40\sqrt{6}](https://tex.z-dn.net/?f=98-40%5Csqrt%7B6%7D)
Keywords: Product
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Answer:
c equal 11.40 Step-by-step explanation: c is the hypotenuse so under square root 9^2 +7^2
9514 1404 393
Answer:
19 years
Step-by-step explanation:
The compound interest formula tells you the future value of principal P invested at annual rate r compounded n times per year for t years is ...
A = P(1 +r/n)^(nt)
Solving for t, we get ...
t = log(A/P)/(n·log(1 +r/n))
Using the given values, we find t to be ...
t = log(2.13022)/(4·log(1 +0.04/4)) ≈ 19.000
The investment will be worth $213,022 after 19 years.
Answer:
yes
Step-by-step explanation:
why aren't they similar