What is sqrt((10^{n+3)-10^{n+2})/(10^{n+2)}} ?

The solution to sqrt((10^{n+3)-10^{n+2})/(10^{n+2)}} is 3

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simplify sqrt((10^{n+3)-10^{n+2})/(10^{n+2)}}

simplify

\frac{1 0 ^{n + 3} - 1 0 ^{n + 2}}{1 0 ^{n + 2}}

3

Solution steps

\frac{1 0 ^{n + 3} - 1 0 ^{n + 2}}{1 0 ^{n + 2}}

\frac{1 0 ^{n + 3} - 1 0 ^{n + 2}}{1 0 ^{n + 2}} = 9

= 9

Factor the number:

9 = 3^{2}

= 3^{2}

Apply radical rule:

3^{2} = 3

= 3

2 (1 + cos (2 θ)) \cdot sin (θ)

(x^{\frac{1}{2}})^{\frac{1}{2}}

- 1 x - 1 x

(x + 2) (x + 3) (x + 1)

\frac{1}{x ^{2}} + \frac{1}{x ^{2} + x}

What is sqrt((10^{n+3)-10^{n+2})/(10^{n+2)}} ?
The solution to sqrt((10^{n+3)-10^{n+2})/(10^{n+2)}} is 3