Question

which of the following are square roots of the number below ? check all that apply .
100
a. 1/2 100
b. 25
c.-10
d._(100) ^1/2 ?

Answer 1

\[\sqrt{100}=100^{\frac{1}{2}}\]
c also works because (-10)(-10)=100. usually when you find the square root of a number, they only want the positive root, however. your text will specify this

Answer 2

so a. and c . ??

Answer 3

c and d

Answer 4

1/2 is an exponent

Answer 5

10^2 is 10 times 10 which is 100
what they want you to learn is that -10^2 means -10 times -10 which ofcourse is also positive 100 because - times - = a positive
thats a property of squares if you will they can never have a negative outcome

- sqrt100 is -10 which comes down to the same so its also valid