How do you simplify the square root of 27?
1 answer:
Start by finding the numbers that go into 27. 1, 27...3, 9...I think that's it, right? One of those numbers is a perfect square. The 9. Rewrite the radical like this then:
Now break up the 9 into its perfect square:
Because there are 3 3's you can pull out the root of 9, which is one of those 3's. It will then simplify to
If you had the square root of 8, that would simplify to
4 is a prfect square (2 times 2), so you can pull out a 2, leaving the other 2 under the radical
Hope that makes sense. If you'd like some more examples to help clarify, just ask!
Now break up the 9 into its perfect square:
Because there are 3 3's you can pull out the root of 9, which is one of those 3's. It will then simplify to
If you had the square root of 8, that would simplify to
4 is a prfect square (2 times 2), so you can pull out a 2, leaving the other 2 under the radical
Hope that makes sense. If you'd like some more examples to help clarify, just ask!
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Hey there!
Let's first simplify this expression using our rules of exponents.
We know that:
1)
And:
2)
Finally:
3)
One more:
4)
Now, we can simplify the top. Using our rule number 1<em />, we know we can just multiply the exponents to get 7^12. On the bottom, using our rule number 2, we know we can add out exponents to also get 7^12.
Without even simplifying the powers, we know that everything over itself if one. Therefore, in our answer choices, we're looking for everything not equal to one.
For the 7^12/7^12, we know that's what we just got so it equals one. For the 1, well, one equals one. For the next one, referring to our last rule, 4, anything to the power of 0 equals one, therefore that's also equal to one.
Now for our final answer choice. If we take another look at rule number 3, we know we have to subtract the exponent at the bottom from the one at the top because the exponents have the same base. That gives us 7^-24, and that surely does not equal one.
Therefore, your answer is:
Hope this helps!
Let's first simplify this expression using our rules of exponents.
We know that:
1)
And:
2)
Finally:
3)
One more:
4)
Now, we can simplify the top. Using our rule number 1<em />, we know we can just multiply the exponents to get 7^12. On the bottom, using our rule number 2, we know we can add out exponents to also get 7^12.
Without even simplifying the powers, we know that everything over itself if one. Therefore, in our answer choices, we're looking for everything not equal to one.
For the 7^12/7^12, we know that's what we just got so it equals one. For the 1, well, one equals one. For the next one, referring to our last rule, 4, anything to the power of 0 equals one, therefore that's also equal to one.
Now for our final answer choice. If we take another look at rule number 3, we know we have to subtract the exponent at the bottom from the one at the top because the exponents have the same base. That gives us 7^-24, and that surely does not equal one.
Therefore, your answer is:
Hope this helps!