How do you simplify $\sqrt{\frac{8}{36}}$ $sqrt(8/36)$ ?

Question

How do you simplify $\sqrt{\frac{8}{36}}$ $sqrt(8/36)$ ?

2 Answers

Impact of this question

3434 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-06-02T16:43:49

$\sqrt{\frac{8}{36}} = (\frac{2}{3}) \sqrt{2}$ $sqrt(8/36)=(2/3)sqrt(2)$

Explanation:

$\sqrt{\frac{8}{36}} = ?$ $sqrt(8/36)=?$
$\sqrt{\frac{a}{b}} = (\frac{\sqrt{a}}{\sqrt{b}})$ $sqrt(a/b)=(sqrt(a)/sqrt(b))$
For a=8, b=36;
$\sqrt{\frac{8}{36}} = (\frac{\sqrt{8}}{\sqrt{36}})$ $sqrt(8/36)=(sqrt(8)/sqrt(36))$
$\sqrt{8} = \sqrt{4 \times 2} = \sqrt{4} \times \sqrt{2} = 2 \sqrt{2}$ $sqrt(8)=sqrt(4xx2)=sqrt(4)xxsqrt(2)=2sqrt(2)$
$\sqrt{36} = 6$ $sqrt(36)=6$
$(\frac{\sqrt{8}}{\sqrt{36}}) = \frac{2 \sqrt{2}}{6}$ $(sqrt(8)/sqrt(36))=(2sqrt(2))/6$
$\sqrt{\frac{8}{36}} = (\frac{2}{3}) \sqrt{2}$ $sqrt(8/36)=(2/3)sqrt(2)$

Answer 2 · 2018-06-02T16:46:36

$\frac{\sqrt{2}}{3}$ $(sqrt(2))/(3)$

Explanation:

$= \sqrt{\frac{8}{36}}$ $=sqrt(8/36)$

$= \frac{\sqrt{8}}{\sqrt{36}}$ $= sqrt(8)/sqrt(36)$

$= \frac{\sqrt{2 \cdot 2 \cdot 2}}{\sqrt{2 \cdot 2 \cdot 3 \cdot 3}}$ $= sqrt(2*2*2)/sqrt(2*2*3*3)$

$= \frac{\sqrt{2^{2} \cdot 2}}{\sqrt{2^{2} \cdot 3^{2}}}$ $= sqrt(2^2*2)/sqrt(2^2*3^2)$

$= \frac{2 \sqrt{2}}{2 \cdot 3}$ $= (2sqrt(2))/(2*3)$

$= \frac{2 \sqrt{2}}{6}$ $= (2sqrt(2))/(6)$

$= \frac{\sqrt{2}}{3}$ $= (sqrt(2))/(3)$

Science

Math

Humanities

... and beyond

How do you simplify $\sqrt{\frac{8}{36}}$ $sqrt(8/36)$ ?

2 Answers

Explanation:

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you simplify √836sqrt(8/36)?

2 Answers

Explanation:

Explanation:

Related questions

Impact of this question

How do you simplify $\sqrt{\frac{8}{36}}$ $sqrt(8/36)$ ?