Question

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Answer 1

$\sqrt{20 \frac{1}{4} } - \sqrt{1 \frac{32}{49} } \\ = \sqrt{20 + \frac{1}{4} } \: - \sqrt{1 + \frac{32}{49} } \\ = \sqrt{ \frac{80 + 1}{4} } \: - \sqrt{ \frac{49 + 32}{49} } \\ = \sqrt{ \frac{81}{4} } \: - \sqrt{ \frac{81}{49} } \\ = \frac{ \sqrt{81} }{ \sqrt{4} } \: - \frac{ \sqrt{81} }{ \sqrt{49} } \\ \: = \frac{9}{2} \: - \frac{9}{7} \\ \: = \frac{63 \: - 18}{14} \\ \: = \frac{45}{14}$