Question

maths pls ans my ques​

Answer 1

1.

$\frac{1}{ \sqrt{5} } \\ = \frac{1}{ \sqrt{5} } \times \frac{ \sqrt{5} }{ \sqrt{5} } \\ = \frac{ \sqrt{5} }{5}$

2.

$( \sqrt{3} - \sqrt{7} ) ^{2} \\ = 3 + 7 - 2 \sqrt{21} \\ = 10 - 2 \sqrt{21}$

3.

$(3 + \sqrt{5} )(3 - \sqrt{5} ) \\ {3}^{2} - \sqrt{5} ^{2} \\ = 9 - 5 \\ = 4$

4.

$\frac{5}{ \sqrt{7} - \sqrt{5} } \\ = \frac{5}{ \sqrt{7} - \sqrt{5} } \times \frac{ \sqrt{7} + \sqrt{5} }{ \sqrt{7} + \sqrt{5} } \\ = \frac{5( \sqrt{7} + \sqrt{5} )}{7 - 5} \\ = \frac{5 \sqrt{7} + 5 \sqrt{5} }{2}$

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