Type a math problem
Evaluate
Solution Steps
Factor . Rewrite the square root of the product as the product of square roots . Take the square root of .
Factor . Rewrite the square root of the product as the product of square roots . Take the square root of .
Combine and to get .
Factor . Rewrite the square root of the product as the product of square roots . Take the square root of .
Combine and to get .
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2\sqrt{3}+\sqrt{75}+\sqrt{108}\approx 22.516660498
Factor 12=2^{2}\times 3. Rewrite the square root of the product \sqrt{2^{2}\times 3}\approx 3.464101615 as the product of square roots \sqrt{2^{2}}\sqrt{3}\approx 3.464101615. Take the square root of 2^{2}\approx 4.
2\sqrt{3}+5\sqrt{3}+\sqrt{108}\approx 22.516660498
Factor 75=5^{2}\times 3. Rewrite the square root of the product \sqrt{5^{2}\times 3}\approx 8.660254038 as the product of square roots \sqrt{5^{2}}\sqrt{3}\approx 8.660254038. Take the square root of 5^{2}\approx 25.
7\sqrt{3}+\sqrt{108}\approx 22.516660498
Combine 2\sqrt{3}\approx 3.464101615 and 5\sqrt{3}\approx 8.660254038 to get 7\sqrt{3}\approx 12.124355653.
7\sqrt{3}+6\sqrt{3}\approx 22.516660498
Factor 108=6^{2}\times 3. Rewrite the square root of the product \sqrt{6^{2}\times 3}\approx 10.392304845 as the product of square roots \sqrt{6^{2}}\sqrt{3}\approx 10.392304845. Take the square root of 6^{2}\approx 36.
13\sqrt{3}\approx 22.516660498
Combine 7\sqrt{3}\approx 12.124355653 and 6\sqrt{3}\approx 10.392304845 to get 13\sqrt{3}\approx 22.516660498.