What is the answer to sqrt(100)=sqrt(r)^2 ?

The answer to sqrt(100)=sqrt(r)^2 is r=10

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sqrt(100)=sqrt(r)^2

100 = r^{2}

r = 10

Solution steps

100 = (r)^{2}

Move

(r)^{2}

to the left side

10 - (r)^{2} = 0

Factor

10 - (r)^{2} : - (r + 10) (r - 10)

- (r + 10) (r - 10) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

r + 10 = 0 or r - 10 = 0

Solve

r + 10 = 0 :

No Solution for

r \in R

Solve

r - 10 = 0 : r = 10

r = 10

Verify Solutions:

r = 10

True

The solution is

r = 10

9 - x^{2} = 3 - x

13 y + 4 - y + 16 = 6

625 = (x^{2} + 20 x)^{\frac{4}{3}}

x^{2} - 2 x + 1 + x^{2} = 1

What is the answer to sqrt(100)=sqrt(r)^2 ?
The answer to sqrt(100)=sqrt(r)^2 is r=10
Solve for r: sqrt(100)=sqrt(r)^2
The solution is r=10