How do you simplify $\frac{10 \sqrt{2}}{2 \sqrt{8}}$ $( 10sqrt 2)/(2 sqrt 8)$ ?

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How do you simplify $\frac{10 \sqrt{2}}{2 \sqrt{8}}$ $( 10sqrt 2)/(2 sqrt 8)$ ?

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Answer 1 · 2016-04-16T11:41:13

$\frac{18 \sqrt{2}}{2 \sqrt{8}} = \frac{9 \sqrt{2}}{2 \sqrt{2}} = 4.5$ $(18sqrt2)/(2sqrt8)=(9sqrt2)/(2sqrt2)=4.5$

Answer 2 · 2016-04-16T11:47:22

$\pm \frac{5}{2}$ $+-5/2$

Explanation:

Write as

$\frac{10 \sqrt{2}}{2 \sqrt{2} \sqrt{4}} \to \frac{10 \sqrt{2}}{4 \sqrt{2}} \to \frac{10}{4} \times 1 = \frac{5}{2}$ $(10sqrt(2))/(2sqrt(2)sqrt(4)) -> (10 sqrt(2))/(4sqrt(2))->10/4xx1 = 5/2$

Consider: $(- a) \times (- a) = (+ a) \times (+ a) = a^{2}$ $(-a)xx(-a)=(+a)xx(+a)=a^2$ . The example's $a^{2}$ $a^2$ is the equivalent condition to the 8 and 2 in $\sqrt{2} and \sqrt{8}$ $sqrt(2)" and "sqrt(8)$ . So in our solution the square root cane be positive or negative. Thus our answer is:

$\pm \frac{5}{2}$ $" "+-5/2$

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