Question

Please help again! Same thing!

Answer 1

Answer:

a = - 3, b = 5

Step-by-step explanation:

To rationalise the denominator multiply the numerator/ denominator by $\sqrt{2}$

= $\frac{\sqrt{2}(10-\sqrt{18}) }{(\sqrt{2})^2 }$

= $\frac{10\sqrt{2}-\sqrt{36} }{2}$

= $\frac{10\sqrt{2}-6 }{2}$

= 5$\sqrt{2}$ - 3

= - 3 + 5$\sqrt{2}$ ← in the form a + b$\sqrt{2}$

with a = - 3 and b = 5