Evaluate
\sqrt{21}+\sqrt{35}-\sqrt{15}-3\approx 3.625672132
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\sqrt{5}\sqrt{7}-\sqrt{5}\sqrt{3}+\sqrt{3}\sqrt{7}-\left(\sqrt{3}\right)^{2}
Apply the distributive property by multiplying each term of \sqrt{5}+\sqrt{3} by each term of \sqrt{7}-\sqrt{3}.
\sqrt{35}-\sqrt{5}\sqrt{3}+\sqrt{3}\sqrt{7}-\left(\sqrt{3}\right)^{2}
To multiply \sqrt{5} and \sqrt{7}, multiply the numbers under the square root.
\sqrt{35}-\sqrt{15}+\sqrt{3}\sqrt{7}-\left(\sqrt{3}\right)^{2}
To multiply \sqrt{5} and \sqrt{3}, multiply the numbers under the square root.
\sqrt{35}-\sqrt{15}+\sqrt{21}-\left(\sqrt{3}\right)^{2}
To multiply \sqrt{3} and \sqrt{7}, multiply the numbers under the square root.
\sqrt{35}-\sqrt{15}+\sqrt{21}-3
The square of \sqrt{3} is 3.
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