crownprince crownprince
  • 14-06-2020
  • Mathematics
contestada

What is the smallest number by which you have to multiply the product 3 x 4 x 5 x 11 x 15 to get
a perfect square number? *

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 14-06-2020

Answer:

  11

Step-by-step explanation:

The prime factorization of the given product is ...

  3 × 2^2 × 5 × 11 × 3·5 = 2^2 × 3^2 × 5^2 × 11

The factor required for this to be a perfect square is 11.

_____

Check

3·4·5·11·15 = 9900 ≈ 99.499^2

9900·11 = 108,900 = 330^2 . . . a perfect square number

Answer Link

Otras preguntas

the number of electoral votes state gets depends on
y = 3x – 13 3x – 4y = 7
HURRY PLEASE 10. If y = 20 when x=8, what is the value of x when y=-2?
Which of the following best describes Douglass relationship with his parents
please help, i’ll mark brainliest to the first answer.
Colton Enterprises experienced the following events for Year 1, the first year of operation:Acquired $37,000 cash from the issue of common stock.Paid $12,200 ca
You’re just solving for a variable
Plzz help i will give brainliets with 100 points
The leading cause of motor vehicle accidents is 1. inexperience 2. distraction 3. alcohol consumption 4. road hazards​
What is the common difference of the following arithmetic sequence? 120, 108, 96, 84, ...