Math, asked by poornima4224, 8 months ago

fast as possible........​

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Answered by ExᴏᴛɪᴄExᴘʟᴏʀᴇƦ
51

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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Answered by gowtham1166
2

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.

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