Simplified Square Root Of 54
Here nosotros will show yous two methods that you can use to simplify the square root of 54. In other words, we will testify you how to find the square root of 54 in its simplest radical class using two dissimilar methods.
To exist more specific, we have created an illustration beneath showing what nosotros desire to calculate. Our goal is to make "A" outside the radical (√) as large as possible, and "B" inside the radical (√) every bit small-scale as possible.
√54 = A√B
Greatest Perfect Square Factor Method
The Greatest Perfect Square Factor Method uses the greatest perfect square cistron of 54 to simplify the square root of 54. This is how to calculate A and B using this method:
A = Calculate the foursquare root of the greatest perfect square from the listing of all factors of 54. The factors of 54 are 1, 2, 3, 6, 9, xviii, 27, and 54. Furthermore, the greatest perfect square on this list is 9 and the square root of 9 is 3. Therefore, A equals iii.
B = Calculate 54 divided past the greatest perfect foursquare from the list of all factors of 54. We determined to a higher place that the greatest perfect square from the list of all factors of 54 is ix. Furthermore, 54 divided by ix is 6, therefore B equals half dozen.
Now we accept A and B and can get our answer to 54 in its simplest radical grade as follows:
√54 = A√B
√54 = three√half-dozen
Double Prime Gene Method
The Double Prime number Factor Method uses the prime factors of 54 to simplify the square root of 54 to its simplest form possible. This is how to summate A and B using this method:
A = Multiply all the double prime factors (pairs) of 54 and so take the square root of that production. The prime number factors that multiply together to make 54 are ii 10 3 x iii x iii. When we strip out the pairs simply, we become 3 10 iii = 9 and the square root of 9 is 3. Therefore, A equals three.
B = Divide 54 by the number (A) squared. 3 squared is 9 and 54 divided by 9 is 6. Therefore, B equals 6.
In one case once more nosotros have A and B and can get our reply to 54 in its simplest radical form as follows:
√54 = A√B
√54 = 3√6
Simplify Square Root
Delight enter another square root in the box beneath for us to simplify.
Simplify Foursquare Root of 55
Here is the adjacent square root on our list that we accept simplifed for you.
Copyright | Privacy Policy | Disclaimer | Contact
Simplified Square Root Of 54,
Source: https://squareroot.info/simplify/0/simplify-square-root-of-54.html
Posted by: rileytrong1984.blogspot.com
0 Response to "Simplified Square Root Of 54"
Post a Comment