simplify the following radical expression : 4 sqrt (625)
a) 25
b) sqrt (25)
c) 5
d) no solution exists
i think a
umm... "A" would not be the correct answer. Don't forget the 4. It is not a square root.
4sqrt(625) means what number, when raise to the power of 4, would equal to 625?
Other word, x^4=625 and what's x?
the correct answer is c
Is this what you mean?
4√625 = 4 (25) = 100
It doesn't fit any of the choices.
To simplify the expression 4√(625), we can start by recognizing that 625 is a perfect square. A perfect square is a number that can be obtained by squaring an integer. In this case, 625 can be written as (25)^2.
Next, we can apply the properties of radicals to simplify the expression. The square root of a product is equal to the product of the square roots. Therefore, we can rewrite 4√(625) as 4√(25^2).
Since the square root of 25 is 5, we can simplify further to get 4 * 5 = 20.
So, the simplified radical expression 4√(625) is equal to 20, which corresponds to option 'a'.