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Solve for: sqrt() 2 sqrt() 3 sqrt() 4
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Number Theory
Solve for: sqrt() 2 sqrt() 3 sqrt() 4
Blog
Topics
Algebra
Calculus
Geometry
Number Theory
Probability
Statistics
Trigonometry
Expression: $$\sqrt { 2 } \sqrt { 3 } \sqrt { 4 }$$
Factor $4=2\times 2$. Rewrite the square root of the product $\sqrt{2\times 2}$ as the product of square roots $\sqrt{2}\sqrt{2}$.
$$\sqrt{2}\sqrt{3}\sqrt{2}\sqrt{2}$$
Multiply $\sqrt{2}$ and $\sqrt{2}$ to get $2$.
$$2\sqrt{3}\sqrt{2}$$
To multiply $\sqrt{3}$ and $\sqrt{2}$, multiply the numbers under the square root.
$$2\sqrt{6}$$
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