Simplify the expression (square root)
√45/144
Thanks.
5/6
To simplify the expression √45/144, we can simplify the numerator and the denominator separately.
First, let's simplify the numerator, √45. To do this, we need to find the largest perfect square that can divide 45 without leaving a remainder. In this case, the largest perfect square that can divide 45 is 9 (3^2), as 9 is a factor of 45.
So, we can rewrite √45 as √(9 x 5). Using the property of square roots, this can be written as √9 x √5.
√9 is equal to 3, so we have 3√5.
Next, let's simplify the denominator, 144. Since 144 is a perfect square (12^2), we can rewrite it as 12 x 12.
So, the simplified expression becomes 3√5 / (12 x 12).
Now, we can simplify further by dividing both the numerator and the denominator by the common factor 12.
3√5 / (12 x 12) simplifies to 3√5 / 144.
Thus, the simplified expression is 3√5 / 144.
Thank you for your answer but I was thinking that the answer will be √9.5/12 then 3√5/12 and I do not know what to do with the denominator "12".
I evaluated it according to the way you typed it.
It seems you are taking it as
√(45/144)
which would be √45/√144 = 3√5/12 = √5/4
Can you see why brackets would be essential for that interpretation?
I get it , Thanks for everything
= 3√5/144
= √5/48