Question

Find cube root of 15625. ​

Answer 1

Answer

25

Step-by-step explanation:

³√15625

(15625)⅓

=25

Answer 2

Answer:

The answer is -

25

Step-by-step explanation:

To find the cube root of 15625

Use trial and check errors

This is a different well known method [Using trial and check errors] to get the cube roots

But there is long Division method also to find the cube roots

So,

Clue 1 :- As we know that 15625 comes between 8000 and 27000

8000 = 20 X 20 x 20

         = $20^{3}$

27000 = 30 X 30 x 30

           = $30^{3}$

Lets first take any number between 20 and 30 to check whether it is a cube root of 15625

So,

First we will take 24 [To check]

24 X 24 X 24 = 13824

No, it doesn't satisfy

Now,

Lets take 25

25 X 25 X 25 = 15625

Yes, 25 is a cube root of 15625

So,

$\sqrt[3]{15625}$ = 25

OR

$25^{3}$ = 15625

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