How do I solve Radical square root.
Such as 11 times the square root of 196 divided by 9 times the square root of 256
Is it
11√196/(9√256)
or
11√196/9 *√256
anyway √196 = 14 and √256 = 16
I am sure you can do the rest
11�ã196
-------
9�ã256
I know to do the square roots. I come up with
154
-----
144
My problem is what to do now. Do I divide? And do I need to simplify because it is a radical?
so it reduces to 77/72 or 1 5/72
thank you
So the line doesn't stand for division?
of course it does.
any fraction is really a division of the numerator by the denominator
e.g. 5/8 = 5 ÷ 8 = 0.625
To solve this radical square root expression, you can simplify it by combining and rationalizing the denominator. Here's how you can do it step by step:
1. Start with the expression: 11√196 / 9√256.
2. Simplify the radical terms:
√196 = √(14^2) = 14
√256 = √(16^2) = 16
3. Substitute these values back into the expression:
11(14) / 9(16).
4. Simplify the numerator and denominator:
154 / 144.
5. Divide to get the final answer:
154 ÷ 144 = 1.0694 (rounded to four decimal places).
Therefore, the result of the expression 11√196 / 9√256 is approximately 1.0694.