Evaluate
\sqrt{7}-1\approx 1.645751311
Factor
\sqrt{7} - 1 = 1.645751311
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\frac{\left(7-\sqrt{7}\right)\sqrt{7}}{\left(\sqrt{7}\right)^{2}}
Rationalize the denominator of \frac{7-\sqrt{7}}{\sqrt{7}} by multiplying numerator and denominator by \sqrt{7}.
\frac{\left(7-\sqrt{7}\right)\sqrt{7}}{7}
The square of \sqrt{7} is 7.
\frac{7\sqrt{7}-\left(\sqrt{7}\right)^{2}}{7}
Use the distributive property to multiply 7-\sqrt{7} by \sqrt{7}.
\frac{7\sqrt{7}-7}{7}
The square of \sqrt{7} is 7.
\sqrt{7}-1
Divide each term of 7\sqrt{7}-7 by 7 to get \sqrt{7}-1.
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