Question

3. Find the square root of 12 – 4√5​

Answer 1

Answer:

Step-by-step explanation:

let

√(12-4√5) = (a+-b)^2

squaring and expanding on both sides

a^2 + b^2 - 2ab =  (12 - 4√5)^2

(a^2+ b^2) -2ab  =  144 +80 - 96√5

                        =   224   - 96√5

by equating both sides we have

a^2  + b^2 =  224  and  2ab =96

solve by using formula

( a -b)^2 = (a+b)^2 - 4ab

put  above values and solve

get  a - b

now SOLVE

a + b and a - b to get values of a and b