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the reciprocal is 1/sqrt15 but its not pretty to have a sqrt on the bottom of the a fraction so multiply the top and bottom by sqrt 15 and get sqrt15/15

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Q: What is the reciprocal of the square root of 15?
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The reverse square root, also known as the reciprocal square root, refers to the mathematical operation of taking the multiplicative inverse of the square root of a number. In simpler terms, it involves finding the number that, when squared, results in the reciprocal of the original number. Mathematically, the reverse square root of a number x is expressed as 1/√x or x^(-1/2).


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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.


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