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Answer :
The square roots of 576 are 24 and -24. Therefore, the correct answers are A. -24, B. 576[tex]^{1/2[/tex], D. 24, and F. -576[tex]^{1/2[/tex]. Verification shows that both positive and negative roots are correct.
Square Roots of 576
To determine which values from the list are square roots of 576, we first find the square root of 576. The square root of 576 is calculated as follows:
√576 = 24
Thus, both 24 and -24 are correct answers. Here is the verification step-by-step:
24: 24 * 24 = 576
-24: -24 * -24 = 576
Additionally, 5761/2 also represents the square root of 576:
576[tex]^{1/2[/tex]= 24
-576[tex]^{1/2[/tex] = -24
Therefore, the correct answers from the given options are A. -24, B. 576[tex]^{1/2[/tex], D. 24, and F. -576[tex]^{1/2[/tex].
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Square root of 576
The square root of 576 is the inverse of the mathematical operation of squaring the number 24. The square root of a number implies a number whose product with itself gives the initial number. Now we will calculate the square root of 576 using various methods and a few interesting facts and problems too.
- Square root of 576: 24
- Square of 576: 331776
What Is the Square Root of 576?
The square root of 576 can be written as √576 and (576)1/2
The square of 576 will be a number(a) such that a × a = 576
And 24 × 24 = 576 also -24 × -24 = 576
Therefore, +24 and -24 are the square root of 576
Is Square Root of 576 Rational or Irrational?
The square root of 576 are +24 and -24.
Both numbers are integers and we know that all integers are rational numbers.
Hence, the square root of 576 is a rational number.
