Evaluate the following.root 625 multiple root 81

1.	Evaluate the following.root 625 multiple root 81
Answer» Step-by-step EXPLANATION: The sqrt FUNCTION has the distributive property. So sqrt(a/b) = sqrt(a) / sqrt(b). In this case, a = 81, and b = 625. sqrt(81) = 9. sqrt(625) = 25. So sqrt(81/625) = 9 / 25. To GET a decimal representation, multiply by a form of 1 that makes the DENOMINATOR a power of 10. Here, 25 * 4 = 100, so 9/25 * 4/4 = 36/100 = 0.36

Answer»

Step-by-step EXPLANATION:

The sqrt FUNCTION has the distributive property.

So sqrt(a/b) = sqrt(a) / sqrt(b).

In this case, a = 81, and b = 625.

sqrt(81) = 9.

sqrt(625) = 25.

So sqrt(81/625) = 9 / 25.

To GET a decimal representation, multiply by a form of 1 that makes the DENOMINATOR a power of 10. Here, 25 * 4 = 100, so

9/25 * 4/4 = 36/100 = 0.36

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