Solve the following quadratic equations by extracting square root. show work

Step-by-step explanation:

x^2 = 16

x = square root of 16

x = 4

4r^2 - 225 = 0

4r^2 = 225

r^2 = 56.25

r = square root of 55.25

r = 7.5

x = ± 6i

step-by-step explanation:

x^2 = -36

take the square root of each side

sqrt(x^2) = sqrt(-36)

we know sqrt(ab) = sqrt(a) sqrt(b)

x = ±sqrt(36) sqrt(-1)

we know that sqrt (-1) = i

x = ± 6i

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step-by-step explanation: