100,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 is the square root of googol. Googol is a one, followed by a hundred zeroes.
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If googolplex = 10googol then sqrt(googolplex) = 10semigoogol ie 10 to the power googol/2
Square root implies that a number x has a divisor y which when multiplied by itself equals x. In other words y² = x. The decimal system (numbers up to 10) has an interesting characteristic that helps solve your problem. If you square any number (y) that begins with 1, and ends with any number of zeros, you will have a number (x) that begins with 1, and ends with twice as many zeros as y. Conversely, if you square root any number (x) that begins with 1, and ends with an even number of zeros, you will have a number (y) that begins with 1, and ends with half as many zeros as x. Since one googol is a 1 with 100 zeros after it, the square root is a 1 with 50 zeros after it, otherwise known as one hundred quindecillion.
The principal square root is the non-negative square root.
To simplify the square root of 5 times the square root of 6, you can multiply the two square roots together. This gives you the square root of (5*6), which simplifies to the square root of 30. Therefore, the simplified answer is the square root of 30.
No. The Square root of x is not the value of x. So it can not be simplified beyond: Root X + root 3x Yes. The square root of 3x equals the square root of 3 times the square root of x, so when you add another square root of x, you can factor out the square root of x, thereby simplifying the expression to the square root of x times the sum of one plus the square root of three.