What is (sqrt((0.03)^2+1))/(sqrt((0.03)^4+1)) ?

The solution to (sqrt((0.03)^2+1))/(sqrt((0.03)^4+1)) is (100sqrt(10009))/(sqrt(100000081))

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simplify (sqrt((0.03)^2+1))/(sqrt((0.03)^4+1))

simplify

\frac{( 0.03 ) ^{2} + 1}{( 0.03 ) ^{4} + 1}

\frac{100 10009}{100000081}

Decimal Notation

1.00044 \dots

Solution steps

\frac{0.0 3 ^{2} + 1}{0.0 3 ^{4} + 1}

0.0 3^{2} + 1 = \frac{10009}{100}

= \frac{\frac{10009}{100}}{0.0 3 ^{4} + 1}

Apply the fraction rule:

\frac{\frac{a}{b}}{c} = \frac{a}{b \cdot c}

= \frac{10009}{100 0.0 3 ^{4} + 1}

Simplify

100 0.0 3^{4} + 1 : \frac{100000081}{100}

= \frac{10009}{\frac{100000081}{100}}

Apply the fraction rule:

\frac{a}{\frac{b}{c}} = \frac{a \cdot c}{b}

= \frac{10009 \cdot 100}{100000081}

= \frac{100 10009}{100000081}

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What is (sqrt((0.03)^2+1))/(sqrt((0.03)^4+1)) ?
The solution to (sqrt((0.03)^2+1))/(sqrt((0.03)^4+1)) is (100sqrt(10009))/(sqrt(100000081))