Question

Which of the given number are perfect cubes?
( i ) 2744. ( ii ) 3375.
( iii ) 100000 ( iv ) 46656​

Answer 1

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$\sqrt[3]{2744} = 14$

$\sqrt[3]{3375} = 15$

$\sqrt[3]{46656} = 36$

hope it helps you......

Answer 2

Answer:

1. Yes

2. Yes

3. No

4. Yes

Step-by-step explanation:

A perfect cube is a number that is the cube of an integer. For example, 125 is a perfect cube since 125 = 5 × 5 × 5= 53.

1. 2744 is said to be a perfect cube because 14 x 14 x 14 is equal to 2744. Since 2744 is a whole number, it is a perfect cube

2. 3375 is said to be a perfect cube because 15 x 15 x 15 is equal to 3375.

Since 3375 is a whole number, it is a perfect cube.

3. No. Because 100000 = 1000 * 100. = (10)^3 * (10)^2/3. so 100000 is not a perfect cube

4.  46656 is said to be a perfect cube because 36 x 36 x 36 is equal to 46656. Since 46656 is a whole number, it is a perfect cube

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