The square root of a positive number results in a positive number. For example, the square root of 25 is 5.
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Not true!
There are two real square roots for every positive number: one positive and one negative. -5 is as much a square root of 25 as +5 is. However, the positive root is the principal root and so is often presented as the only root.
+6 is the positive square root of 36.
The positive square root of 289 is 17.
Positive Square root of 7.3441 is 2.71
The square root of 6724 is 82
Every positive integer has two square roots, a positive square root and a negative square root. This is because, just like a positive number multiplied by a positive number is equal to a positive number, a negative number multiplied by a negative number is equal to a positive number. Therefore, rounded to two decimal places, the positive square root is equal to 7.28, and the negative square root is -7.28.
The square root of a real number is not always positive. The square root of any positive number is positive, the square root of zero is zero (not positive), and the square root of a negative number is complex (i.e. neither positive nor negative). The square root of 16 = -4 or 4. The square root of 0 = 0 The square root of -16 = -4i or 4i
+6 is the positive square root of 36.
The positive square root of 289 is 17.
the principal root is the positive square root.
Positive Square root of 7.3441 is 2.71
√(a^2) That is |a| (the absolute value of a) Because if a is positive, a^2 is positive, and since √ is a positive square root, √(a^2) is a. If a is negative, a^2 is positive, and since √ is a positive square root, √(a^2) is -a. So if a is positive, √(a^2) is positive (which is a) If a is negative, √(a^2) is also positive (which is -a) So √(a^2) is |a| for every a.
A positive number has two square roots, that is, there are two solutions to an equation like x2 = 100. The "principal square root" refers to the positive solution.
The principal square root is the non-negative square root.
The square root of 6724 is 82
Every positive integer has two square roots, a positive square root and a negative square root. This is because, just like a positive number multiplied by a positive number is equal to a positive number, a negative number multiplied by a negative number is equal to a positive number. Therefore, rounded to two decimal places, the positive square root is equal to 7.28, and the negative square root is -7.28.
Restricting the discussion to real numbers for now. In this case, the square root is only defined for non-negative numbers; the principal square root of a positive number is the POSITIVE square root. For example, both +5 and -5 are square roots of 25, since both - when squared - give you 25. But the positive square root (+5) is called the principal square root, and if you write the square root symbol, that's the number usually meant.
If unspecified, the square root is the principal root, which is the positive root.