How do I do radical 7/10... my answer was 4 radical 3 over 6... is that correct?
1) Do you mean what is the square root of 7/10?
2) What process did you use? It look like you just subtracted 4 from the numerator and the denominator and put the four outside.
To simplify a radical expression, you need to follow a few steps:
Step 1: Determine if the radicand (the number inside the square root symbol) has any perfect square factors. In this case, the radicand is 7.
Step 2: Find the largest perfect square factor of the radicand. In this case, 7 cannot be simplified further since it does not have any perfect square factors other than 1. So, √7 cannot be simplified to a whole number.
Step 3: Simplify the fraction if possible. In this case, the fraction is already in simplest form since 7 and 10 do not have any common factors other than 1.
So, the simplified radical expression for √(7/10) is (√7) / (√10).
Now, let's check your answer: 4√3 / 6 is not equivalent to (√7) / (√10). In order to compare the two expressions, we need to rationalize the denominator (remove the radical from the denominator).
To do this, we can multiply the numerator and denominator by (√10) to get rid of the radical in the denominator.
So, your final simplified answer will be: (4√3 * √10) / (6 * √10).
Simplifying further, we get: (4√30) / (6√10).
To reduce the fraction, we divide the numerator and denominator by the common factor of 2: (2√30) / (3√10).
Therefore, your answer of 4√3 / 6 is not correct. The correct simplified form of √(7/10) is (2√30) / (3√10).