Convert the following rational number into decimal form and state the kind of its decimal expansion: $\frac{25}{8}$

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(N/A) To convert $\frac{25}{8}$ into decimal form,we perform long division:
$25 \div 8 = 3.125$
Since the remainder becomes $0$ after a finite number of steps,the decimal expansion is a Terminating decimal expansion.

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Find the value of the following expression correct to three decimal places,taking $\sqrt{2} = 1.414$,$\sqrt{3} = 1.732$,and $\sqrt{5} = 2.236$:
$\frac{\sqrt{10} - \sqrt{5}}{2}$

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Represent $\sqrt{6}$ on the number line.

For each question,select the proper option from the four options given to make the statement true: $(\sqrt{5}+\sqrt{3})(\sqrt{5}-\sqrt{3}) = \ldots \ldots \ldots$

Fill in the blank to make the following statement true:
$(729)^{\frac{1}{3}} = \ldots$

Rationalise the denominator in each of the following and hence evaluate by taking $\sqrt{2}=1.414, \sqrt{3}=1.732$ and $\sqrt{5}=2.236,$ up to three decimal places.
$\frac{1}{\sqrt{3}+\sqrt{2}}$

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