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Why does the square root of -25 have no real solution?
Because the square root of -25 would be that number that, squared, would equal -25. No number, positive or negative, can result in a negative square. Since -25 is a negative number, no number, positive or negative, can be squared to equal -25.
Square root of 64 times the square root of 25?
40
What is the answer to 2 square root of 25?
10 (square root of 25 is 5, then that times 2)
What number is 30 less than its square root?
the # 6 and the # -5 are 30 less than their square root. 6^2 = 36 > 36 - 6 = 30 -5^2 = 25 (because a negative times a negative = a positive)
What is the principal root of -25?
The principal root of a number is the positive real square root of the number - if it exists. Since -25 is negative, it does not have a real square root. Its square roots are the imaginary numbers +/-5i where i is the [imaginary] square root of -1. i is neither positive nor negative and so neither +5i nor -5i is a principal root.
