Toán Lớp 9: 3√40√12-3√√75-4√5√48
note: √12 nằm trong √40
√48 nằm trong căn √5
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Toán Lớp 9: 3√40√12-3√√75-4√5√48
note: √12 nằm trong √40
√48 nằm trong căn √5
Comments ( 1 )
3\sqrt {40\sqrt {12} } – 3\sqrt {\sqrt {75} } – 4\sqrt {5\sqrt {48} } \\
= 3\sqrt {40.2\sqrt 3 } – 3\sqrt {\sqrt {75} } – 4\sqrt {5.4\sqrt 3 } \\
= 3\sqrt {80\sqrt 3 } – 3\sqrt {\sqrt {75} } – 4\sqrt {5.4\sqrt 3 } \\
= 3.4\sqrt {5\sqrt 3 } – 3\sqrt {5\sqrt 3 } – 4.2\sqrt {5\sqrt 3 } \\
= 12\sqrt {5\sqrt 3 } – 3\sqrt {5\sqrt 3 } – 8\sqrt {5\sqrt 3 } \\
= \left( {12 – 3 – 8} \right)\sqrt {5\sqrt 3 } \\
= \sqrt {5\sqrt 3 }
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