Question

Find cube root of 91125 without prime factorization

Answer 1

Answer: 45

Step-by-step explanation:

By estimation method- 91125

91 and 125

125ends with 5 and numbers ending with 5 have 5 at the end of their cube root so

Unit's place= 5

Ten's place=

64<91<125

4³<81<5³

We always take smaller number as the tens place.

So, the ten's place= 4

Therefore, ³√91125= 45

Answer 2

Use the ones tens hundreds method

91125

91/125

4/5

45 cube

CHECKING:--

45

×45

-------

225

180 .

----------

2025

----------

2025

× 45

------------

10125

8100.

-------------

91125

--------------

Therefore,45 cube is 91125