Is this radical expression true or false? 28 minus 4th root of 2 equals 24th root of 2
Does 28 - 1.189 equal 1.0293 ?
radical expressions=the root of a radicand. I can't type the radical symbol. 4th power to the number 2 and 24th power to the number 2.
I thought you were talking about roots, not powers. The 24th power and the 24th root of a number are not the same thing.
I did not express a question involving power. Power is expressed as follows: 4^2. I am asking a question involving radical expressions, roots, and radicands.
4th of 2 and 24th of 2 both equal 2. so i'm thinking this is false, I just need confirmation.
To determine if the radical expression is true or false, we need to simplify both sides of the equation and see if they are equal.
First, let's simplify the expression on the left side:
28 - ∜2
To simplify the expression, we need to write 28 as a power of 2 (since we have a fourth root of 2 on the right side). 28 is not a power of 2, so we cannot simplify it further.
On the right side, we have the 24th root of 2. To simplify this, we need to rewrite both sides of the equation using the same root.
Let's simplify the right side using a fourth root:
(24th root of 2)^6
To simplify it further, we need to multiply the exponent inside the root by the exponent outside the root:
(2^(1/24))^6 = 2^(6/24) = 2^(1/4)
Now, we can see that the left side is 28 - ∜2, and the right side is 2^(1/4).
However, 28 - ∜2 cannot be simplified further, and 2^(1/4) is a simplified expression. Therefore, the two expressions are not equal, and the radical expression is false.