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Mathematics 9 Online
OpenStudy (lena772):

Simplify: 3 square root of 5 end root minus 2 square root of 2 end root plus square root of 45 end root minus square root of 28 2 square root of 12 2 square root of 2 6 square root of 5 end root minus 4 square root of 7 6 square root of 10 end root minus 4 square root of 14

OpenStudy (lena772):

OpenStudy (shamil98):

First off, you further simplify \[\sqrt {45} - \sqrt {28}\]

OpenStudy (shamil98):

\[\large \sqrt{45} = \sqrt{9 \times 5 } = 3\sqrt{5} \] \[\large - \sqrt{28} = -\sqrt{4 \times 7} = -2\sqrt{7}\]

OpenStudy (shamil98):

Now just combine the terms with like terms

OpenStudy (shamil98):

\[\huge 3\sqrt{5}+3\sqrt{5} - 2\sqrt{7} - 2\sqrt{7 } = ?\]

OpenStudy (lena772):

2(3rt5)-2(2rt7)?

OpenStudy (shamil98):

No, think of the √5 as variables. 3x + 3x = 6x In similarity 3√5 + 3√5 = 6√5 do the same for the other one

OpenStudy (lena772):

3x+3x-2y-2y

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