Final answer to the problem
$\sqrt{9-4\sqrt{5}}-\sqrt{4-2\sqrt{3}}-\sqrt{7-2\sqrt{10}}+1$
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Step-by-step Solution
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- Choose an option
- Write in simplest form
- Prime Factor Decomposition
- Solve by quadratic formula (general formula)
- Find the derivative using the definition
- Simplify
- Find the integral
- Find the derivative
- Factor
- Factor by completing the square
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1
Factor the polynomial $4-2\sqrt{3}$ by it's greatest common factor (GCF): $2$
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$\sqrt{9-2\sqrt{20}}-\sqrt{\left(2-\sqrt{3}\right)\cdot 2}-\sqrt{7-2\sqrt{10}}+1$
Learn how to solve problems step by step online. Simplify the expression with radicals (9-220^(1/2))^(1/2)-(4-23^(1/2))^(1/2)-(7-210^(1/2))^(1/2)+1. Factor the polynomial 4-2\sqrt{3} by it's greatest common factor (GCF): 2. Rewrite 20 as a power. The power of a product is equal to the product of it's factors raised to the same power. Multiply -2 times 2.
Final answer to the problem
$\sqrt{9-4\sqrt{5}}-\sqrt{4-2\sqrt{3}}-\sqrt{7-2\sqrt{10}}+1$
Exact Numeric Answer
$-0.317837$
