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Algebra Level 1

Simplify 1215 \sqrt{1215} .

3 145 3\sqrt{145} 9 13 9\sqrt{13} 3 115 3\sqrt{115} 9 15 9\sqrt{15}

Denton Young by Denton Young , 47, USA

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2 solutions

Denton Young
Oct 9, 2017

1215 = 81 * 15

so 1215 \sqrt{1215} = 81 \sqrt{81} * 15 \sqrt{15} = 9 15 9\sqrt{15}

2 Helpful 0 Interesting 0 Brilliant 0 Confused
Munem Shahriar
Oct 9, 2017

1215 \sqrt{1215}

= 3 5 ⋅ 5 = \sqrt{3^5 \cdot 5}

= 3 4 ⋅ 3 ⋅ 5 = \sqrt{3^4 \cdot 3 \cdot 5}

= 3 4 3 ⋅ 5 = \sqrt{3^4} \sqrt{3 \cdot 5}

= 9 15 = 9 \sqrt{15}

1 Helpful 0 Interesting 0 Brilliant 0 Confused

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