fast as possible........
Answers
Given
✭ We are given 4900
✭ 4900 is to he multiplied by a number to make it a perfect cube
To Find
◈ The number to be multiplied
◈ Cube root of the product
Solution
Concept
So we know that for Number say 8 to be a cube root it has to have a pair of 3 of the same number, where in our case 8 = 2×2×2. Which means we are gonna find the pair missing a d multiply 4900 with it
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Finding the factors of 4900
2|4900
2l2450
5l1225
5l245
7l49
7l7
1
➝ 4900 = 2×2×2×5×7×7
Here we may see that,
⪼ 2 two's are there
⪼ 2 five is there
⪼ 2 seven is there
Which means we have to multiply 4900 with 2×5×7
∴ We should multiply 4900 with 70
Number obtained will be,
➳ 4900 × 70
➳ 343000
Its cube root will be,
»» ∛343000
∴ ∛343000 = 70
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Answer:
2 x 5 x 7
Step-by-step explanation:
4900 = 2 x 2 x 5 x 5 x 7 x 7
☞ So, For a Perfect Cube All the Product of the numbers must be in cubic form .
☞Then , the smallest number to be added for the Perfect Cube is : 2 x 5 x 7.
Then , the Cube is : 343,000.