Question

YOU ARE TOLD THAT 1331 IS A PERFECT CUBE CAN YOU GUESS WITHOUT FACTORIZATION WHAT IS ITS CUBE ROOT? SIMILARLY GUESS THAT CUBE ROOTS OF 4913, 12167, 32768

Answer 1

Answer:

cube root of 1331 is 11

cube root of 4913 is 17

Step-by-step explanation:

4913

first we will take last three digit from right

in this no it is 913

then we have to assume that which no has a cube as last no 3

it is 7 so ones digit is 7

7x7x7 = 343

so the we will take the remaining digit which is 4

we have to see between which cubes this no lies

4 lies between 1³ and 2³

so tens digit is 1

therefore no is 17

similarly cube root of 12167 is 23

cube root of 32768 is 32