Problem

7. Simplify the expression. Write the irrational number in simplest form: \[ \frac{\sqrt{112}}{\sqrt{4}} \]

Solution

Step 1 :The problem is asking to simplify the expression by dividing the square root of 112 by the square root of 4.

Step 2 :The square root of 4 is 2, so the expression simplifies to \(\frac{\sqrt{112}}{2}\).

Step 3 :However, the square root of 112 can be further simplified. 112 is 16 times 7, and the square root of 16 is 4. So, \(\sqrt{112}\) is the same as \(4\sqrt{7}\).

Step 4 :Therefore, the expression simplifies to \(\frac{4\sqrt{7}}{2}\), which is \(2\sqrt{7}\).

Step 5 :The simplified form of the expression \(\frac{\sqrt{112}}{\sqrt{4}}\) is \(\boxed{2\sqrt{7}}\).

From Solvely APP
Source: https://solvelyapp.com/problems/42531/

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