localclown
New member
- Joined
- Dec 29, 2019
- Messages
- 3
Hi, first timer and looking to improve my math skills. Thanks in advance for any assistance provided.
[MATH]\text {Simplify the following surd}[/MATH][MATH]\frac{\sqrt{88}}{2}[/MATH]
I worked this out as:
[MATH]\sqrt{88}\div{2}={88}\div{2}={44}\text{ so }{4}\times{11}={2}\sqrt{11}[/MATH]
However the correct answer is [MATH]\sqrt{22}[/MATH]. Please can you explain how where I went wrong in coming to the correct conclusion?
And:
[MATH]\text {Simplify the following surd}[/MATH][MATH]\frac{14\sqrt{30}}{16\sqrt{3}}[/MATH]
I clumsily fumbled through this not knowing what I was doing:
[MATH]{14}\div{16}={0.875}[/MATH][MATH]\sqrt{30}\div\sqrt{3}=\sqrt{10}[/MATH][MATH]={0.875}\sqrt{10}[/MATH]
When the correct answer was:
[MATH]\frac{7\sqrt{10}}{8}[/MATH]
EDIT 14:54: So I noticed in the previous question the whole numbers, 14 and 16 have been halved. Why is this? I'm not making the connection between addressing the whole numbers first, and the square roots after but somehow reaching 14/2 and 16/2.
EDIT 15:00: Thanks to MarkFL for providing the scripts on how to correctly display these fractions.
Thanks!
[MATH]\text {Simplify the following surd}[/MATH][MATH]\frac{\sqrt{88}}{2}[/MATH]
I worked this out as:
[MATH]\sqrt{88}\div{2}={88}\div{2}={44}\text{ so }{4}\times{11}={2}\sqrt{11}[/MATH]
However the correct answer is [MATH]\sqrt{22}[/MATH]. Please can you explain how where I went wrong in coming to the correct conclusion?
And:
[MATH]\text {Simplify the following surd}[/MATH][MATH]\frac{14\sqrt{30}}{16\sqrt{3}}[/MATH]
I clumsily fumbled through this not knowing what I was doing:
[MATH]{14}\div{16}={0.875}[/MATH][MATH]\sqrt{30}\div\sqrt{3}=\sqrt{10}[/MATH][MATH]={0.875}\sqrt{10}[/MATH]
When the correct answer was:
[MATH]\frac{7\sqrt{10}}{8}[/MATH]
EDIT 14:54: So I noticed in the previous question the whole numbers, 14 and 16 have been halved. Why is this? I'm not making the connection between addressing the whole numbers first, and the square roots after but somehow reaching 14/2 and 16/2.
EDIT 15:00: Thanks to MarkFL for providing the scripts on how to correctly display these fractions.
Thanks!
Last edited: