Question

find the smallest number by which the given number must be multiplied to make it a perdect square 1331

Answer 1

hi

aim : Find the smallest number by which the given number must be multiplied to make it a perdect square 1331

firslty,

prime factorisation of 1331

1331 = 11 × 11 × 11

this can be written as

1331 = 11² ×11

we see that 11 is not in pair

∴11 is the smallest number by which the given number must be multiplied to make it a perdect square 1331

1331 *11=14641

√14641  = 121