Question

Given a and b are rational numbers .
Find a and b if:
5-3√14 ∕ 7+2√14=a+b√14

Answer 1

Answer:

a = -17, b = 0

Step-by-step explanation:

(5 - 3√14 )/ (7+ 2√14)

Multiply Numerator and Denominator with 7-2√14

we will get

(5 - 3√14 )(7-2√14 ) / (7+ 2√14)(7-2√14 )

We will get

(35 -(10+21)√14 + 84) / (49-56)

=119 / -7 = -17