The square root of four twenty-fifths, is two fifths, because of the fact that the square root of four is two and the square root of twenty-five is five.
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The square root of 15 times the square root of 5 can be simplified as the square root of (15 * 5), which equals the square root of 75. The square root of 75 can be further simplified as 5 times the square root of 3. Therefore, the square root of 15 times the square root of 5 is equivalent to 5 times the square root of 3.