16
Chat with our AI personalities
Note: The square root of a negative number is a so-called imaginary number. This has no solution in the "real numbers". The imaginary unit, i, is equal to the square root of -1; so i2 = -1.
6 / root(-10)
= 6 / root(10) i
= 6i / root(10) x i2
= 6i / root(10) x (-1)
= 6i root(10) / -10
= 3i root(10) / -5
= (-3 root(10) / 5) i
Note: The square root of a negative number is a so-called imaginary number. This has no solution in the "real numbers". The imaginary unit, i, is equal to the square root of -1; so i2 = -1.
6 / root(-10)
= 6 / root(10) i
= 6i / root(10) x i2
= 6i / root(10) x (-1)
= 6i root(10) / -10
= 3i root(10) / -5
= (-3 root(10) / 5) i
Note: The square root of a negative number is a so-called imaginary number. This has no solution in the "real numbers". The imaginary unit, i, is equal to the square root of -1; so i2 = -1.
6 / root(-10)
= 6 / root(10) i
= 6i / root(10) x i2
= 6i / root(10) x (-1)
= 6i root(10) / -10
= 3i root(10) / -5
= (-3 root(10) / 5) i
Note: The square root of a negative number is a so-called imaginary number. This has no solution in the "real numbers". The imaginary unit, i, is equal to the square root of -1; so i2 = -1.
6 / root(-10)
= 6 / root(10) i
= 6i / root(10) x i2
= 6i / root(10) x (-1)
= 6i root(10) / -10
= 3i root(10) / -5
= (-3 root(10) / 5) i
Note: The square root of a negative number is a so-called imaginary number. This has no solution in the "real numbers". The imaginary unit, i, is equal to the square root of -1; so i2 = -1.
6 / root(-10)
= 6 / root(10) i
= 6i / root(10) x i2
= 6i / root(10) x (-1)
= 6i root(10) / -10
= 3i root(10) / -5
= (-3 root(10) / 5) i
100
2 square root of 5
12
The idea is to find a number which, when square, equals the given number. For example, asking for the square root of 100 means solving the equation x2 = 100. The solution, in this case, is 10. (Minus 10 is also a solution, but the term "square root" refers to the positive solution in this case.)The idea is to find a number which, when square, equals the given number. For example, asking for the square root of 100 means solving the equation x2 = 100. The solution, in this case, is 10. (Minus 10 is also a solution, but the term "square root" refers to the positive solution in this case.)The idea is to find a number which, when square, equals the given number. For example, asking for the square root of 100 means solving the equation x2 = 100. The solution, in this case, is 10. (Minus 10 is also a solution, but the term "square root" refers to the positive solution in this case.)The idea is to find a number which, when square, equals the given number. For example, asking for the square root of 100 means solving the equation x2 = 100. The solution, in this case, is 10. (Minus 10 is also a solution, but the term "square root" refers to the positive solution in this case.)
2