Evaluate
2\sqrt{70}+17\approx 33.733200531
Expand
2 \sqrt{70} + 17 = 33.733200531
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\left(\sqrt{10}\right)^{2}+2\sqrt{10}\sqrt{7}+\left(\sqrt{7}\right)^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(\sqrt{10}+\sqrt{7}\right)^{2}.
10+2\sqrt{10}\sqrt{7}+\left(\sqrt{7}\right)^{2}
The square of \sqrt{10} is 10.
10+2\sqrt{70}+\left(\sqrt{7}\right)^{2}
To multiply \sqrt{10} and \sqrt{7}, multiply the numbers under the square root.
10+2\sqrt{70}+7
The square of \sqrt{7} is 7.
17+2\sqrt{70}
Add 10 and 7 to get 17.
\left(\sqrt{10}\right)^{2}+2\sqrt{10}\sqrt{7}+\left(\sqrt{7}\right)^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(\sqrt{10}+\sqrt{7}\right)^{2}.
10+2\sqrt{10}\sqrt{7}+\left(\sqrt{7}\right)^{2}
The square of \sqrt{10} is 10.
10+2\sqrt{70}+\left(\sqrt{7}\right)^{2}
To multiply \sqrt{10} and \sqrt{7}, multiply the numbers under the square root.
10+2\sqrt{70}+7
The square of \sqrt{7} is 7.
17+2\sqrt{70}
Add 10 and 7 to get 17.
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