Express 4 radical 75
5 radical 3
4√75
= 4√25√3
= 4(5)√3
= 20√3
To simplify the expression "4 radical 75," we can start by finding the square factors of 75.
Step 1: Prime factorize 75
75 can be factored as follows: 3 * 5 * 5
Step 2: Look for square factors
From the prime factorization, we can see that 5 appears twice, which means we have a square factor.
Step 3: Simplify using radical properties
We can rewrite the expression "4 radical 75" as "4 * radical (5 * 5 * 3)."
Since the square root of 5 * 5 is 5, we can simplify further:
4 * 5 * radical 3
Therefore, the expression "4 radical 75" simplifies to "20 radical 3."