How can you rewrite 913

using a root?(1 point)

1 answer

You can rewrite 913 using a square root by expressing it in terms of a perfect square. For example:

\[ 913 = 900 + 13 = 30^2 + 13 \]

Using a square root in its simplest form, you can illustrate it as:

\[ \sqrt{913} = \sqrt{900 + 13} \approx \sqrt{900} + \frac{13}{2\sqrt{900}} \text{ (using linear approximation near 30)} \]

However, if you want a direct expression, we can simply write:

\[ 913 = \sqrt{913^2} \]

or if you want it directly in terms of an approximate root:

\[ 913 \approx 30.2^2 \]

This means \( 30.2 \) is the square root of \( 913 \), but without the context of approximation, you may just express it as it is noted above.

If you’re looking for a way to express 913 in the form of \( a\sqrt{b} \), you could use numerical methods, but \( 913 \) doesn't directly simplify into a cleaner expression involving roots.

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