Ribbon B is meters long
<em><u>Solution:</u></em>
Given that,
Ribbon A is 1/3 meter long. It is 2/5 meter shorter than ribbon B
To find: length of Ribbon B
From given information in question,
Length of Ribbon A =
Length of Ribbon A is 2/5 meter shorter than ribbon B
Therefore we can say,
Length of Ribbon A = length of ribbon B -
Therefore ribbon B is meters long
Answer:
Third choice from the top is the one you want
Step-by-step explanation:
This whole concept relies on the fact that if the index of a radical exactly matches the power under the radical, both the radical and the power cancel each other out. For example:
and another example:
Let's take this step by step. First we will rewrite both the numerator and the denominator in rational exponential equivalencies:
In order to do anything with this, we need to make the index (ie. the denominators of each of those rational exponents) the same number. The LCM of 3 and 4 is 12. So we rewrite as
Now we will put it back into radical form so we can rationalize the denominator:
In order to rationalize the denominator, we need the power on the 2 to be a 12. Right now it's a 4, so we are "missing" 8. The rule for multiplying like bases is that you add the exponents. Therefore,
We will rationalize by multiplying in a unit multiplier equal to 1 in the form of
That looks like this:
This simplifies down to
Since the index and the power on the 2 are both 12, they cancel each other out leaving us with just a 2! Doing the multiplication of those 2 numbers in the numerator gives us, as a final answer:
Phew!!!
