Advertisement Remove all ads

Find the Smallest Number by Which 10368 Be Divided, So that the Result is a Perfect Square. Also, Find the Square Root of the Resulting Numbers. - Mathematics

Sum

Find the smallest number by which 10368 be divided, so that the result is a perfect square. Also, find the square root of the resulting numbers.

Advertisement Remove all ads

Solution

10368 = `bar(2xx2) xx bar(2xx2) xx bar(2xx2) xx2 xx bar(3xx3) xx bar(3xx3)`

On grouping the prime factors of 10368 as shown; one factors i.e. 2 is left which cannot be paired with equal factor.

2 10368
2 5184
2 2592
2 1296
2 648
2 324
2 162
3 81
3 27
3 9
  3

 

 

 

 

 

 

 

 

 

 

 

∴ The given number should be divided by 2.

Now `sqrt(10368/2)`

= `sqrt((bar(2xx2) xxbar(2xx2) xx bar(2xx2) xx2 xx bar(3xx3) xx bar(3xx3))/(2)`

= 2 x 2 x 2 x 3 x 3 = 72

  Is there an error in this question or solution?
Advertisement Remove all ads

APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 3 Squares and Square Root
Exercise 3 (A) | Q 4 | Page 38
Advertisement Remove all ads
Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×