Question

find the cube root of the following numbers by prime factorization method ?(1)91125 and (2) - 9261.​

Answer 1

1) THE CUBE ROOT OF 91125 IS

∴ ∛91125= 5×5×5×3×3×3×3×3×3

∴∛91125= 5×3×3

∴∛91125=15×3

∴∛91125=45

2) THE CUBE ROOT OF -9261 IS

=3×3×3×7×7×7

=3×7

= -21

Answer 2

Answer:

The cube root of 91125 = 45

The cube root of -9261 = -21

You can do both of them by prime factorization method :

1.

91125 =  45 x 205

91125 = 45 x 45 x 45

91125 =  15 x 3 x 15 x 3 x 15 x 3

91125 = 3 x 5 x 3 x 3 x 5 x 3 x 3 x 5 x 3

2.

-9261 = -21 x 441

-9261 = -21 x -21 x -21

-9261 =  -3 x 7 x -3 x 7 x -3 x 7 [ or ]

-9261 = 3 x -7 x 3 x -7 x 3 x -7

[ You have to see the +'s and -'s very carefully to understand the 2nd problem ]

Step-by-step explanation: