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The dimensions of a rectangle are 15 feet by 10 feet. Express the length of the diagonal in simplest radical form.

5$\sqrt{13}$

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Chapter 3

REAL NUMBERS AND RADICALS

Section 3

Simplifying Radicals

Whole which of Numbers

Fractions and Mixed Numbers

Decimals

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The area of a rectangle is…

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So we are given that the dimensions of a rectangle are 15 feet by 10 feet and we want to find the length of the diagonal and simplest radical form. Now the length of diagonal is really just going to be the hypothesis of the right try and go forward by these two sides of the rectangle. If we recall, we confined the length of that hype oddness using the Pythagorean there. So 15 squared is 225 110 squared is 100 that's equal to the high Patna squared. If we just want the high partners, we have to take the square root of both quantities. So we have the hype. Oddness is equal to the square root of 325 now. This isn't quite the simplest radical form, because we can actually rewrite 325 as 13 times 25 25 is a perfect square, so we can factor that out of the radical as of five. So our hypothesis length is actually going to be five radical 13

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