Question

if a root 2 + b root 2 is equals to root 50 Where n belongs to n then was number of possible ordered pairs of the form a, b can be obtained is option A V option B for CNC 3 option d 2​

Answer 1

Given :- If a√2 + b√2 = √50 , where a,b belongs to N, then the number of possible order pairs of the form (a,b) can be obtained

a) 5

b) 3

c) 4

d) 2

Solution :-

→ a√2 + b√2 = √50

→ √2(a + b) = √(2 * 5 * 5)

→ √2(a + b) = √(2 * 5²)

→ √2(a + b) = √2 * √(5²)

→ √2(a + b) = 5√2

dividing both sides by √2,

→ (a + b) = 5 .

Now, we have given that, a and b ∈ N .

Therefore,

• when a = 1, b = 4
• when a = 2 , b = 3
• when a = 3 , b = 2
• when a = 4 , b = 1 .

Hence, the number of possible order pairs of the form (a,b) can be obtained are 4 . (Option C) .

Learn more :-

if the positive square root of (√190 +√ 80) i multiplied by (√2-1) and the

product is raised to the power of four the re...

https://brainly.in/question/26618255

Answer 2

Answer:

The number of order pairs are 4.