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Minchanka [31]
4 years ago
14

How do I solve pic rel? Online calculators keep saying the result is -1 but they don't show any steps which is confusing

Mathematics
1 answer:
larisa86 [58]4 years ago
6 0

Answer:

-1

Step-by-step explanation:

\sqrt{9 - 4 \sqrt{2} }  - 2 \sqrt{2}  \\  \\  =  \sqrt{8 + 1 - 4 \sqrt{2} }  - 2 \sqrt{2}  \\  \\  =  \sqrt{8 - 4 \sqrt{2}  + 1}  - 2 \sqrt{2}  \\  \\  =  \sqrt{ {(2 \sqrt{2}) }^{2}  - 2 \times 2 \sqrt{2} \times 1 +  {1}^{2}  }  - 2 \sqrt{2}  \\  \\  =  \sqrt{( {2 \sqrt{2}  - 1)}^{2} }  - 2 \sqrt{2}  \\  \\ (2 \sqrt{2}  - 1) - 2 \sqrt{2}  \\  \\  = 2 \sqrt{2}  - 1 - 2 \sqrt{2}  \\  \\  =  - 1

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