Math, asked by lovenagar, 11 months ago


1.find the smallest square number that is divisible by each of the numbers 5,10 and 25.

Answers

Answered by sultanshaikh282
2

Step-by-step explanation:

2 number is smallest square number is dividable of 5,10and 25

Answered by hotelcalifornia
5

Answer:

The smallest square number which is divisible by all the given three numbers 5, 10 and 25 is 100.

Step-by-step explanation:

Given,  

Two things we need to consider,

1. The number should be divided by 5, 10 and 25

2. It should be a square number.

Considering first one,  

Find out the LCM of 5, 10 and 25

We get.

5 = 5\\\\10 = 5 \times2\\\\25 = 5\times5

Thus, the LCM =5\times5\times2=5^2\times2^1

In order to get a perfect square, the powers must be even so we are now multiplying by 2 to make the power of 2 as an even one.

Thus, the LCM becomes  

=5^2\times2\times2\\\\=5^2\times2^2\\\\=25\times4\\\\=100

Thus, 100 is a square number and it is divisible by all the three numbers i.e., 5, 10 and 25.

Thus, the number is 100.

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