Answer:
a = 3 and b = 5
Step-by-step explanation:
3/x + 5/x² = (ax + b)/x²
Take x² as LCM.
3x/x² + 5x²
= 3x + 5/x²
On comparison with the RHS,
a = 3
b = 5
+
√54+√150
=√2×3×3×3+√2×5×5×3
=3√6+5√6
=8√6
=8×2. 44
=19. 59
