Respuesta :

Answer:

2.828 (the square root of 8)

Step-by-step explanation:

2.828 squared is 8, which is also the square root of 64

The value in the missing is x = 2√2 or x = -2√2 or x = ±√8 if the expression is _² = √64.

What is an expression?

It is defined as the combination of constants and variables with mathematical operators.

We have a mathematical expression:

_² = √64

Let the missing number be x:

Then, the equation becomes:

x² = √64

√64 = √(8x8) = 8

x² = 8

The above equation represents a quadratic equation, Any equation of the form [tex]\rm ax^2+bx+c=0[/tex]  where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]

x = ±√8

x = ±2√2

Thus, the value in the missing is x = 2√2 or x = -2√2 or x = ±√8 if the expression is _² = √64.

Learn more about the expression here:

brainly.com/question/14083225

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