Math, asked by tejimyname, 9 months ago

simplfie 3√5+-√5+√180

Answers

Answered by aayushmishrarewa
2

Step-by-step explanation:

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Answered by mysticd
4

 \red{ 3\sqrt{5} - \sqrt{5} + \sqrt{180} } \\=  3\sqrt{5} - \sqrt{5} + \sqrt{6\times 6 \times 5} \\=3\sqrt{5} - \sqrt{5} + \sqrt{\blue{(6\times 6 )}\times 5} \\=3\sqrt{5} - \sqrt{5} +6 \sqrt{5} \\=( 3 - 1 + 6 )\sqrt{5} \\= (2+6)\sqrt{5} \\= 8\sqrt{5}

Therefore.,

 \red{ 3\sqrt{5} - \sqrt{5} + \sqrt{180} }\green {= 8\sqrt{5}}

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