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The principal root of the square root of 18 would fall between what two integers?

The principal root of the square root of 18 would fall between what two integers?-example-1
User Prashant Shastri
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1 Answer

6 votes
6 votes

SOLUTION

Now, 18 is not a perfect square, because its square root is a recurring decimal


\sqrt[]{18}=4.2426406\ldots.

18 lies between two perfect squares, which are 16 and 25


\begin{gathered} \sqrt[]{16}=4 \\ \sqrt[]{25}=5 \end{gathered}

So the squre root of 18 will be greater than 4, but less than 5.

That is 4 is less than the square root of 18, and square root of 18 is less than 5. Which is


4<\sqrt[]{18}<5

Option A is the correct answer

User Michael Warner
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