Answer:
[tex]25\sqrt x[/tex]
Step-by-step explanation:
We are given that an expression
[tex]25x^{\frac{1}{2}}[/tex]
We have to explain the Mikayla's error.
We know that
[tex]x^{\frac{1}{2}}=\sqrt x[/tex]
Mikaya rewrote the given expression
[tex]5\sqrt x[/tex]
But the correct equivalent form of given expression is given by
[tex]25\sqrt x[/tex]
Mikaya's error: Mikayla wrote [tex]5\sqrt x[/tex]instead of [tex]25\sqrt x[/tex]
Given expression is
[tex]25x^{\frac{1}{2}}[/tex]
But Mikayla takes square root of 25x.
[tex](25x)^{\frac{1}{2}}=5\sqrt x[/tex]
Square root is used only for x not for whole 25x because given expression is
[tex]25x^{\frac{1}{2}}[/tex]
Mikayla made a mistake by also taking the square root of 25 instead of only x.
Given the expression written by Mikayla given as:
To rewrite the given expression, we will have:
[tex]25x^1/2 = 25\sqrt{x}[/tex]
Mikayla made a mistake by also taking the square root of 25 instead of only x.
Assuming that 25x is in parenthesis Mikayla would have been correct.
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