Simplify
�ã12+�ã18-�ã27+�ã50
thnx a lot any help is greatly appriceted....
that is sqrt12 + sqrt18 - sqrt27 + sqrt 50
http://www.google.com/search?hl=en&q=sqrt+12
+
http://www.google.com/search?hl=en&q=sqrt+18
-
http://www.google.com/search?hl=en&q=sqrt+27
+
http://www.google.com/search?hl=en&q=sqrt+50
this is grade 11 operations with radicals
and the answer for this is
-sqrt3 + 8sqrt2
Gagan, you need to be more specific in the School Subject box and with the precise wording in your question if you plan on getting exactly what you need.
Please re-post your exact question, in as much detail as possible. It also helps the math tutors for you to tell them whatever you know and exactly what kind of help you need.
To simplify the given expression �ã12+�ã18-�ã27+�ã50, we need to simplify each square root separately and then perform the addition and subtraction.
Let's begin:
1. Simplify �ã12:
To simplify �ã12, we need to find the largest perfect square that divides 12. The largest perfect square that divides 12 is 4 (because 4 x 3 = 12). So, we can rewrite �ã12 as �ã(4 x 3). Taking the square root of the perfect square (4), we get 2. Therefore, �ã12 simplifies to 2�ã3.
2. Simplify �ã18:
To simplify �ã18, we need to find the largest perfect square that divides 18. The largest perfect square that divides 18 is 9 (because 9 x 2 = 18). So, we can rewrite �ã18 as �ã(9 x 2). Taking the square root of the perfect square (9), we get 3. Therefore, �ã18 simplifies to 3�ã2.
3. Simplify �ã27:
To simplify �ã27, we need to find the largest perfect square that divides 27. The largest perfect square that divides 27 is 9 (because 9 x 3 = 27). So, we can rewrite �ã27 as �ã(9 x 3). Taking the square root of the perfect square (9), we get 3. Therefore, �ã27 simplifies to 3�ã3.
4. Simplify �ã50:
To simplify �ã50, we need to find the largest perfect square that divides 50. The largest perfect square that divides 50 is 25 (because 25 x 2 = 50). So, we can rewrite �ã50 as �ã(25 x 2). Taking the square root of the perfect square (25), we get 5. Therefore, �ã50 simplifies to 5�ã2.
Now, we can substitute the simplified values back into the original expression:
2�ã3 + 3�ã2 - 3�ã3 + 5�ã2
Combining like terms, we can add the terms with the same square root:
(2�ã3 - 3�ã3) + (3�ã2 + 5�ã2)
-�ã3 + 8�ã2
Thus, the simplified form of the given expression �ã12+�ã18-�ã27+�ã50 is -�ã3 + 8�ã2.