The question is 25squareroot symbol 24 divided by 5 square root symbol 2
the answer is 10squareroot 3.
25 root 24 simplifies to 50 root 6, then you divide the 50 by 5 and the root 6 by root 2 to get 10 root 3.
hope that's clear enough
If the expression is
(25√24) / (5√2)
the answer is indeed 10√3
To solve this question, we need to rationalize the denominators of both square roots and then divide the values.
Step 1: Rationalize the denominators of the square roots:
The denominator 5 in the square root of 2 can be rationalized by multiplying the numerator and denominator by the square root of 2:
(25√24)/(5√2) = (25√24 * √2) / (5√2 * √2)
= (25√(24 * 2))/(5 * √(2 * 2))
= (25√(48))/(5√(4))
= (25√48)/(5 * 2)
= (25√48)/10
Step 2: Simplify the expression:
Now, let's simplify the square root of 48:
√48 can be factored as √(16 * 3)
= √16 * √3
= 4 * √3
Substituting this back into the expression, we get:
(25 * 4 * √3) / 10
= (100√3) / 10
= 10√3
Therefore, the simplified answer to the expression 25√24 divided by 5√2 is 10√3.