Question

explain how you would find the exact value of

Answer 1

\[\frac{ \sqrt{2} }{ \sqrt{8} }\]

Answer 2

\[\frac{\sqrt{a}}{\sqrt{b}}=\sqrt{\frac{a}{b}}\]

Answer 3

so what you have is \(\sqrt{\frac{1}{4}}\)

Answer 4

√8= √(2*2*2) so , √8=2√2,then reduce by √2 ,you will get 1/2

Answer 5

and since \(\frac{1}{2}\times \frac{1}{2}=\frac{1}{4}\) you know \(\sqrt{\frac{1}{4}}=\frac{1}{2}\)

Answer 6

\[\frac{ \sqrt{2} }{ \sqrt8 } = \frac{ \sqrt2 }{ \sqrt{(4 \times 2)} }=\frac{ \sqrt2 }{ \sqrt4 \times \sqrt2 }=\frac{ \sqrt2 }{ 2\sqrt2 }\]

Answer 7

@satellite73 ,we should get -1/2 or 1/2 , so i think kausarsalley way is the best way to simplify