Question

answer the question in the picture next ​

Answer 1

It took me 20 minutes to do so, please mark me as brainliest

1.

(a) 7 = 7 x 7 x 7 = 49 x 7 = 343

(b) 14 = 14 x 14 x 14 = 196 x 14 = 2744

(c) 32 = 32 x 32 x 32 = 1024 x 32 = 32768

(d) 70 = 70 x 70 x 70 = 4900 x 70 = 343000

2.

(a) Number = 2197

We are supposed to find Cube root of 2197 by prime factorization method

13 | 2197

13 | 169

13 | 13

    | 1

2197 = 13 x 13 x 13

∛2197 = ∛13 x 13 x 13

∛2197 = 13

So, it is 13

(b) Number = -9261

We are supposed to find Cube root of -9261 by prime factorization method

-21 | -9261

-21 | -441

-21 | -21

     | 1

-9261 = -21 x -21 x -21

∛-9261 = ∛-21 x -21 x -21

∛-9261 = -21

So, it is -21

(c) Number = 125000

We are supposed to find Cube root of 125000 by prime factorization method

50 | 125000

50 | 2500

50 | 50

     | 1

125000 = 50 x 50 x 50

∛125000 = ∛50 x 50 x 50

∛125000 = 50

So, it is 50

3. 2 is the smallest natural number by which 1458 must be divided so that the quotient is a perfect cube.

4. We take common 2 and 7 (because in cube the same number which is     multiply 3 times) . Hence √2744 is 14. Therefore, 14 is the smallest number    by which 686 must be multiplied so that the product is perfect cube.

5. 3x5= ∛3375

   15=15