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\sqrt{4}=\frac{\sqrt{100}}{\sqrt{25}}
Divide 100 by 25 to get 4.
2=\frac{\sqrt{100}}{\sqrt{25}}
Calculate the square root of 4 and get 2.
2=\sqrt{4}
Rewrite the division of square roots \frac{\sqrt{100}}{\sqrt{25}} as the square root of the division \sqrt{\frac{100}{25}} and perform the division.
2=2
Calculate the square root of 4 and get 2.
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Compare 2 and 2.