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For which of the following integers, n, is the number 60n eq
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02 Dec 2020, 09:39
02 Dec 2020, 09:39
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For which of the following integers, \(n\), is the number \(60n\) equal to the square of another integer?
Indicate all such values of \(n\).
A. \(2^{28}\)
B. \(2^9 \times 3^5\)
C. \(3^3 \times 5^5\)
D. \(2^{10} \times 3^9 \times 5^8\)
E. \(3 \times 5 \times 7^{28}\)
Kudos for the right answer and explanation
Indicate all such values of \(n\).
A. \(2^{28}\)
B. \(2^9 \times 3^5\)
C. \(3^3 \times 5^5\)
D. \(2^{10} \times 3^9 \times 5^8\)
E. \(3 \times 5 \times 7^{28}\)
Kudos for the right answer and explanation
Re: For which of the following integers, n, is the number 60n eq
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18 Dec 2020, 02:43
18 Dec 2020, 02:43
1
Answer : C , E
Here you can plug in the options to get the square. 60n = 2^2*3*5*n
Now we will need 'n' so that all bases have even power.
By using C we will get 2^2*3*5 x 3^3*5^5 = 2^2*3^4*5^6 = (2*9*125)^2
By using E we will get 2^2*3*5 x 3*5*7^28 = 2^2*3^*5^2*7^28 = (2*3*5*7^14)^2
Here you can plug in the options to get the square. 60n = 2^2*3*5*n
Now we will need 'n' so that all bases have even power.
By using C we will get 2^2*3*5 x 3^3*5^5 = 2^2*3^4*5^6 = (2*9*125)^2
By using E we will get 2^2*3*5 x 3*5*7^28 = 2^2*3^*5^2*7^28 = (2*3*5*7^14)^2
Re: For which of the following integers, n, is the number 60n eq
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11 Sep 2024, 23:13
11 Sep 2024, 23:13
Can someone explain this problem
