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Answer 1

QUESTION:

$4 \sqrt{ \frac{2}{5} } - \sqrt{ \frac{9}{10} } - \sqrt{ \frac{5}{2} }$

ANSWER:

We take the LCM first which is root 10.

$\frac{4 \times \sqrt{2} \times \sqrt{2} - \sqrt{9} - \sqrt{5} \times \sqrt{5} }{ \sqrt{10} } \\ \\ \\ \\ \frac{4 \sqrt{4} - \sqrt{9} - \sqrt{25} }{ \sqrt{10} }$

now we know that;

$\sqrt{4} = \sqrt{2 \times 2} = 2$

$\sqrt{9} = \sqrt{3 \times 3} = 3$

$\sqrt{25} = \sqrt{ 5 \times 5} = 5$

so using this;

$\frac{4 \times 2 - 3 - 5}{ \sqrt{10} } \\ \\ \frac{8 - 8}{ \sqrt{10} } \\ \\ \frac{0}{ \sqrt{10} } \\ \\ \\ = 0$

FINAL ANSWER;

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