Question

find a and b if 3+√27+√75=a+b√3​

Answer 1

Answer:

a=3 b=8√3

Step-by-step explanation:

3+3√3+5√3

3+8√3

a=3

b=8√3

b√3= 8√3

b=8

Answer 2

Answer:

a = 3 ; b = 8

Step-by-step explanation:

Given That 3 + √27 + √75 = a + b√3​

=> 3 + √(9 × 3) + √(25× 3) = a + b√3​

=> 3 + 3√3 + 5√3 = a + b√3

=> 3 + √3 (5+3) = a + b√3

=> 3 + 8√3 = a + b√3

So, by comparing we get,

a = 3 ; b = 8