simplify each of the following:
√27
√162
√99
√486
5√8
-5√63

Question

simplify  each of the following:
√27
√162
√99
√486
5√8
-5√63

anonymous · Answer

$$\sqrt{27}=\sqrt{3}\sqrt{9}=3\sqrt{3}$$

calculusfunctions · Answer

@dr25161 please stop giving out answers!

epikrebel · Answer

$$\sqrt{162}=\sqrt{2*3*3*3*3}$$

epikrebel · Answer

$$\sqrt{486}=\sqrt{2*3*3*3*3*3}$$

anonymous · Answer

Aren't we supposed to give answers?

calculusfunctions · Answer

To simplify a square root,

i). Find the greatest perfect square which the radicand is divisible by
ii). write the square root as a product of the square roots of that perfect square and the remaining factor.
iii). Simplify

Example:$$\sqrt{288}$$

Solution:
i). The greatest perfect square which the radicand is divisible by is 144.
ii). $$\sqrt{288}=\sqrt{144}\sqrt{2}$$iii).$$\sqrt{144}\sqrt{2}=12\sqrt{2}$$Therefore$$\sqrt{288}=12\sqrt{2}$$

epikrebel · Answer

This is open study true we give answers but we need to help them understand the material. This website isn't just about answers. Its about understanding the material.

calculusfunctions · Answer

@dr25161 NO, you're supposed to teach, explain with examples like I just demonstrated.

anonymous · Answer

Yeah, you're right. I'm just a bit lazy

anonymous · Answer

Thanks guys!! sooo much!!! this helped me heaps!!! :) :) :D

anonymous · Answer

Thanks you guys , i too had doubt in it :)