e) \( 7^{2}=49 \Leftrightarrow \sqrt{49}= \) f) \( 8^{2}=64 \Leftrightarrow \sqrt{64}= \) g) \( 10^{2}=100 \Leftrightarrow \sqrt{100}= \) h) \( 11^{2}=121 \Leftrightarrow \sqrt{121}= \) i) \( 15^{2}=225 \Leftrightarrow \sqrt{225}= \)

The relationship between squaring a number and taking its square root is fundamental in mathematics. When you square a number, such as \(7\), you get \(49\). The square root process essentially reverses this operation, leading you back to the original number. So, for \( \sqrt{49} \), you find that it equals \(7\), highlighting the beauty of these inverse operations! In practical applications, understanding squares and square roots is crucial for various fields, including architecture, engineering, and finance. For instance, calculating the area of a square requires squaring the length of one side. When you need to determine side lengths from area measurements in construction, grasping these concepts ensures accuracy in your projects—no one wants a room bigger than intended!