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The square root of 8+3 times the square root of 2 + the square root of 32

Sagot :

Hrishiiidn

Answer:

[tex]9 \sqrt{2} [/tex]

Step-by-step explanation:

[tex] \sqrt{8} + 3 \sqrt{2} + \sqrt{32} \\ \\ = \sqrt{ {2}^{2} \times 2} + 3 \sqrt{2} + \sqrt{ {2}^{4} \times 2 } \\ \\ = 2 \sqrt{2} + 3 \sqrt{2} + {2}^{2} \sqrt{2} \\ \\ = 2 \sqrt{2} + 3 \sqrt{2} + 4 \sqrt{2} \\ \\ = 9 \sqrt{2} [/tex]

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