Question

9. if (sqareroot 3-1)/( sqareroot 3+ 1) = a - b sqareroot 3, then the values
of a and bare
1 and 2
3 and 2
4 and 3
2 and 1​

Answer 1

Answer:

Explanation:

(i) a+b3–√=3–√+13–√−1=3–√+13–√−1×3–√+13–√+1

=3+1+23–√(3–√)2−(1)2=4+23–√3−1=2(2+3–√)2=2+13–√

Comparing, we get

a=2, b=1

(ii) a+b3–√=5+23–√5−23–√=5+23–√5−23–√×5+23–√5+23–√

=(5)2+(23–√)+2(5)(23–√)(5)2−(23–√2)=25+12+203–√25−12

=37+203–√13=3713+203–√13