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Simple 3√75 + 4√27 - 7√45​

Answer»

Step-by-step EXPLANATION:

3 \sqrt{75} + 4 \sqrt{27} - 7 \sqrt{45}

= 3 \sqrt{3 \times 5 \times 5} + 4 \sqrt{3 \times 3 \times 3} - 7 \sqrt{3 \times 3 \times 5}

= 3 \times 5 \sqrt{3} + 4 \times 3 \sqrt{3} - 7 \times 3 \sqrt{5}

= 15 \sqrt{3} + 12 \sqrt{3} - 21 \sqrt{5}

= 27 \sqrt{3} - 21 \sqrt{5}

= 3(9 \sqrt{3} - 7 \sqrt{5} )


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