Question

finally, think of side c. c is $sqrt{89}$? what is $c^{2}$? in other words, what is the area of a square with side length $sqrt{89}$? record the value of $c^{2}$ in the table. finally, think of side c. c is $sqrt{89}$? what is $c^{2}$? in other words, what is the area of a square with side length $sqrt{89}$? record the value of $c^{2}$ in the table. $a^{2}=64$ $a = 8$ $b^{2}=25$ $b = 5$ $c=sqrt{89}$ $c^{2}=?$

Explanation:

Step1: Recall the formula for the area of a square

The area of a square with side length \(s\) is \(A = s^{2}\). Here \(s = c=\sqrt{89}\).

Step2: Calculate \(c^{2}\)

When \(s = \sqrt{89}\), then \(c^{2}=(\sqrt{89})^{2}\). According to the property \((\sqrt{a})^{2}=a\) for \(a\geq0\), so \((\sqrt{89})^{2}=89\).

Answer:

89