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Try to remove square factors from each square root, then collect like terms

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For example $\\sqrt{a^2b}+\\sqrt{c^2b} = a\\sqrt{b} + c\\sqrt{b} = (a+c)\\sqrt{b}$

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Remember:

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$\\sqrt{a \\times b} = \\sqrt{a} \\times \\sqrt{b}$

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$\\sqrt{\\frac{a}{b}} = \\frac{\\sqrt{a}}{\\sqrt{b}}$

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$(a+\\sqrt{b})(a-\\sqrt{b})=a^2-b$

", "type": "question", "name": "Katherine's copy of Surds 1", "statement": "

Simplify each of these

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$\\sqrt{\\var{a3}} =$ [[0]] $\\sqrt{}$[[1]]

\n

 

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$\\sqrt{\\var{b3}} = $ [[0]]$\\sqrt{}$[[1]]

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$\\sqrt{\\var{c3}} = $[[0]] $\\sqrt{}$[[1]]

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$\\sqrt{\\var{d3}} + \\var{d5}\\sqrt{\\var{d7}} =$ [[0]]$\\sqrt{}$[[1]]

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$\\var{e8}\\sqrt{\\var{e3}} + \\var{e5}\\sqrt{\\var{e7}} =$[[0]]$\\sqrt{}$[[1]]

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$\\var{f8}\\sqrt{\\var{f3}} + \\var{f5}\\sqrt{\\var{f7}} - \\var{f9}\\sqrt{\\var{f11}} =$ [[0]]$\\sqrt{}$[[1]]

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