nazarrashad2007 nazarrashad2007
  • 05-06-2020
  • Mathematics
contestada

Pls solve the 6th one

Pls solve the 6th one class=

Respuesta :

ronhagrid310
ronhagrid310 ronhagrid310
  • 05-06-2020

Answer:

The smallest square number that is divisible by 2, 3, and 5.

=> That number is A that has form:

A = 2 x 3 x 5 x k (with 2, 3, and 5 are prime numbers, and k is arbitrary positive integer)

Because A is a square number, k should have form of  2 x 3 x 5 x a^2

with a is the smallest positive integer (to make sure A is smallest)

=> select a = 1

=> k = 2 x 3 x 5 x 1^2 = 2 x 3 x 5

=> A = 2 x 3 x 5 x k = 2 x 3 x 5 x 2 x 3 x 5 = 900

Hope this helps!

:)

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