Question

Use Cordova Smart Class Software Ule mr
Step 7: Subtr
num!
V670
the square root of the quotient.
3.
13 times the other number, find
2. Find the smallest number by which 5392 must be divided so that the quotient is a perfect square. E
1. Find the smallest square number which is divisible by each of the numbers 6, 9 and 15.​

Answer 1

Step-by-step explanation:

it is not given in the question whether there would be any remainder or not. we assume that there would be no remainder and the number 5392 will be divisible by the least number.

now prime factorisarion of 5392

= 2*2*2*2*337

hence the required smallest number is 337 by which when we divide the given number quotient is 16 which is perfect square

LCM of given number 6,9,15 is 90

the required number will be multiple of 90.

prime factorisarion of 90 is

2*3*3*5

to make it a perfect square we need to multiply it with 2*5 i.e. 10

hence the required number is 90*10 = 900 which is square of 30.