Question

If a = 8 + 3√7 , b= 1÷a , find a + b. I WILL give brainliest.

Answer 1

Step-by-step explanation:

a=8+3root7

therefore b=1/(8+3root7)

a+b= (8+3root7)+1/(8+3root7)

using lcm

=((8+3root7)^2 + 1)/(8+3root7)

=8^2+(3root7)^2+2(8)(3root7)+1/(8+3root7)

=64+63+48root7+1/(8+3root7)

=128+48root7/(8+3root7)

=16(8+3root7)/(8+3root7)

cancel the 8+3root7

final answer...........16