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avatar+990 

Fill in the blanks with rational numbers.

 

\frac{1}{\sqrt{2}} + \sqrt{5} + \sqrt{7} = ___ \sqrt{2} + ___ \sqrt{5} + ____ \sqrt{7} + ____ \sqrt{10} + ___ \sqrt{14} + ____ \sqrt{35} +  ____ \sqrt{70}

\frac{1}{\sqrt{2}} + \sqrt{3} + \sqrt{7} = ___ \sqrt{2} + ___ \sqrt{5} + ____ \sqrt{7} + ____ \sqrt{10} + ___ \sqrt{14} + ____ \sqrt{35} +  ____ \sqrt{70}

\frac{1}{\sqrt{2}} + \sqrt{2} + \sqrt{7} = ___ \sqrt{2} + ___ \sqrt{5} + ____ \sqrt{7} + ____ \sqrt{10} + ___ \sqrt{14} + ____ \sqrt{35} +  ____ \sqrt{70}

 May 13, 2026
 #1
avatar+428 
0

The answer is 4/5, -3/10, 1/20.

 May 15, 2026

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