Question

(5+ root8) + (3- root2) - (root2-6) when simplified is

Answer 1

Hi,

( 5 + ✓8 ) + ( 3 - ✓2 ) - ( ✓2 - 6 )

( 5 + ✓2×2×2 ) + ( 3 - ✓2 ) - ( ✓2 - 6 )

( 5 + 2✓2 ) + ( 3 - ✓2 ) - (✓2 - 6 )

5 + 2✓2 + 3 - ✓2 - ✓2 + 6

5 + 3 + 2✓2 - 2✓2 + 6

14 [ Answer ]

Answer 2

HEYA!
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$(5 + \sqrt{8} ) + (3 - \sqrt{2} ) - ( \sqrt{2} - 6) \\ \\ = > 5 + \sqrt{8 } + 3 - \sqrt{2} - \sqrt{2} + 6 \\ \\ = > 14 + 2 \sqrt{2} - 2 \sqrt{2} \\ \\ = > 14$
Hence answer is 14

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