<u>Answer:</u>
<u>Step-by-step explanation:</u>
We can use the following rule of surds to solve the problem:
,
which means that when multiplying two numbers with the same bases, we can simply add their powers while keeping the base the same.
Applying this rule:
⇒ 
⇒ 
Answer:
266 tickets
Step-by-step explanation:
Ratio of adult tickets to child tickets is 4 : 3
So, if we think of these as "parts", there are 4 parts adult tickets and 3 parts child tickets.
In total there is:
4 + 3 = 7 parts
Now, given 152 adult tickets. If there are 4 parts of adult tickets, how much is each part worth?
152/4 = 38
Total amount of tickets is 7 of these "parts", so total number of tickets is:
38 * 7 = 266 tickets
The decimal is irrational because it is not repeating.
