Question

Which model shows square root of 64=4 :

a) √64=8
b) √64 =−4
c) √64 =64
d) √64 =4

Answer 1

The correct model showing the square root of 64 is a), which is √64=8. The square root is the number that, when multiplied by itself, yields the original number, and since 8 * 8 equals 64, the square root of 64 is 8. The correct answer is A

Step-by-step explanation:

The question asks which model shows the square root of 64 equals 4. To find the square root of a number, we need to determine what number, when multiplied by itself, gives the original number. The number 64 is a perfect square because 8 times 8 equals 64. This means that the square root of 64 is 8, not 4, thus √64=8 is the correct answer. Options b), c), and d) are incorrect since they suggest the square root of 64 is -4, 64, and 4, respectively, which are not true.

Raising a number to a power, such as 4³, is an operation where you multiply the number by itself as many times as the exponent indicates. For example, 4³ = 4 * 4 * 4. This can also work inversely with square roots (which can be expressed as raising to the power of 0.5) and higher roots, such as fourth roots (raising to the power of 0.25), which might be needed in more advanced mathematics seen in some equilibrium problems or temperature calculations.