Chapter 2 Numbers and surds

To how many significant figures is the number 0·050 040 accurate?

What is $$8.7\overline{65}$$   correct to four decimal places?

What fraction is equivalent to $$0.\overline{13}$$  ?

What is the value of $$\frac{\sqrt[]{747+684}}{23\times37}$$  correct to three significant figures?

What is the value of $$\left(2\ \sqrt[]{5}\right)^3$$ ?

$$\sqrt[]{90}-\sqrt[]{40}$$  is equal to:

What is the expansion of $$\left(3-\sqrt[]{7}\right)^2$$  ?

What is the value of $$\frac{20}{\sqrt[]{5}}$$  ?

When its denominator is rationalised, what is $$\frac{\sqrt[]{13}}{\sqrt[]{13}+2}$$  equal to?

What is $$\left(2\ \sqrt[]{6}-5\right)\left(2\ \sqrt[]{3}+3\ \sqrt[]{2}\right)$$  equal to when expanded and simplified?