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The length of one leg of an isosceles right triangle is 6 inches. Express the length of the hypotenuse in simplest radical form.

6$\sqrt{2}$

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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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So in this problem, we are given that the leg of a right I saw sleaze triangle is six inches, so that means that the other leg is also six inches by the definition of a nice Oslo. He's trying, and if we remember our price, thuggery and serum of a squared plus B squared equals C squared. The square of the two legs equals the sum of the square. The two legs equals C square of the high pot names, so this leg is six, so that's going to be 36 plus 36 equals C squared. So if we want to actually get the length of the iPod news, we're gonna have to take the square root of both of these terms. And we can rewrite this as the radical of two times 36 equals the length of the iPod, the length of the high pot news. So 36 is obviously a perfect square. We can factor that outside of the radical. So are high pot. Innis length is actually going to be six times a radical, too, because the two cannot be brought outside of the radical

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