Question

find the smallest number that must be subtracted from 792 to make it a perfect cube also find the cube root of these perfect cube

Answer 1

Hi there!
Here's the answer:

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¶¶¶ Type of problem:

To find the smallest No. that must be subtracted from a No. to make it a perfect square.

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¶¶¶ Approach to problem:

• Use division method of finding cube root of the given No.
• Since the given No. is not a perfect square, the No. will leave some remainder after Division.
• Now, to make the No. perfect cube, this Remainder has to be subtracted.
• The cube root of this perfect cube is the quotient obtained after division.


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¶¶¶ SOLUTION:

No. = 792

We know, 9³ = 729


9 | 792 | 9
….| 729 |
---------------
……(63)

•°• No. to be subtracted from 792 to make it a perfect cube = 63
i. e., 792 - 63 = 729 is the required perfect cube.

•°• The Cube root of 729 = 9
( which is the quotient )


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Hope it helps

Answer 2

Answer:

we know that 10 cube =1000

9 cube =729

so ,792-729=63

therefore, 63 must be subtracted to make it a perfect cube

I hope it's help you please mark as a brilliant answer