What is the perfect square nearest to 5040?
5035
5039
5041
5046
Ans :
We can write 5040 as:
5040 = 7× 8×9× 10
We know that, if 1 is added to the product of four consecutive integers then the resulting number is a perfect square.
The number 5040 is a product of four consecutive integers. Now, if we add 1 to 5040, we get a perfect square.
Thus, the perfect square nearest to 5040 is 5040 + 1 = 5041.
The correct answer is C.
please clarify how can we write 5040 = 7.8.9.10
Answers
Answered by
1
hi there !
here's the answer:
•°•°•°•°•°<><><<><>><>><><>°•°•°•°•°
¶ The Number has to be expressed as product of prime factors using prime factorisation.
¶ Then, the prime factors are to be multiplied to get modified numbers as product of consecutive numbers.
2 | 5040
2 | 2520
2 | 1260
2 | 630
3 | 315
3 | 105
5 | 35
.• | 7
5040 = 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7
5040 = 7 × (2×2×2×2) × (3×3) × (2×5)
5040 = 7 × 8 × 9 × 10.
•°•°•°•°•°<><><<><>><>><><>°•°•°•°•°
here's the answer:
•°•°•°•°•°<><><<><>><>><><>°•°•°•°•°
¶ The Number has to be expressed as product of prime factors using prime factorisation.
¶ Then, the prime factors are to be multiplied to get modified numbers as product of consecutive numbers.
2 | 5040
2 | 2520
2 | 1260
2 | 630
3 | 315
3 | 105
5 | 35
.• | 7
5040 = 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7
5040 = 7 × (2×2×2×2) × (3×3) × (2×5)
5040 = 7 × 8 × 9 × 10.
•°•°•°•°•°<><><<><>><>><><>°•°•°•°•°
Answered by
0
Answer:....
Step-by-step explanation:
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