pandeyshaurya904
pandeyshaurya904 pandeyshaurya904
  • 18-08-2021
  • Mathematics
contestada

number of set values of (p,q), which satisfy relation p^2 = 2q^2 ( where p and q are natural numbers )

options:
(A) 1
(B) 0
(C) 2
(D) 3

Respuesta :

LammettHash
LammettHash LammettHash
  • 18-08-2021

(B) 0

We have

[tex]p^2 = 2q^2 \implies \dfrac{p^2}{q^2} = \left(\dfrac pq\right)^2 = 2[/tex]

but 2 is not a square number.

Answer Link

Otras preguntas

What is the total number of Ions in N2O3?
Write a dialogue of between 120-150 wordsTwo friends discuss the lack of discipline in their schoolwrite a dialogue between 120 to 150 words On Topic two friend
I. Choose the word whose underlined part is pronounced differently from the others. 1. a. ride b. Excited c. ridden d. beehive 2. a. pasture b. vast c. brave
Andrew pays a monthly membership fee of $10 at his gym. Each time he uses the gym, he pays $5. Last month, Andrew spent a total of $65 for membership and gym us
A circular room of radius 14 m is to be covered by a square carpet. What will be the maximum area the carpet can cover? If the same area is to be paved with squ
Is this statement true or false? The Virginia Declaration of Rights was drafted by Thomas Jefferson. true false
I need help please help me find the subject pronouns
helppppppp (pleasee) kekwwkjenwmwnnwnfrkrk knskqnwnwkskkwwkwk
Jake tutors students. He charges $10 for the first session and $5 for each additional session. Let x be the number of sessions after the first, and y be the tot
What I already know about fitness?