Divide Square Roots · Exercise 72

ⓐ Approximate $\frac{1}{\sqrt{2}}$ by dividing $\frac{1}{1.414}$ using long division without a calculator.
ⓑ Rationalizing the denominator of $\frac{1}{\sqrt{2}}$ gives $\frac{\sqrt{2}}{2}.$ Approximate $\frac{\sqrt{2}}{2}$ by dividing $\frac{1.414}{2}$ using long division without a calculator.
ⓒ Do you agree that rationalizing the denominator makes calculations easier? Why or why not?

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Elementary Algebra 2e · §9.5 Divide Square Roots · Exercise 72