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.
2) What process did you use? It look like you just subtracted 4 from the numerator and the denominator and put the four outside.
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, β7 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 β(7/10) is (β7) / (β10).
Now, let's check your answer: 4β3 / 6 is not equivalent to (β7) / (β10). 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 (β10) to get rid of the radical in the denominator.
So, your final simplified answer will be: (4β3 * β10) / (6 * β10).
Simplifying further, we get: (4β30) / (6β10).
To reduce the fraction, we divide the numerator and denominator by the common factor of 2: (2β30) / (3β10).
Therefore, your answer of 4β3 / 6 is not correct. The correct simplified form of β(7/10) is (2β30) / (3β10).