Math, asked by maraheem724, 7 months ago

simplify the following 4√625-3 3√1728+5√625-3 3√27. plzzzz answer fast I will follow u​

Answers

Answered by Rashi0906
10

Answer:

The question is solved above

Attachments:
Answered by mysticd
5

 \red{ Simplify \: \sqrt[4] {625} - 3 \times \sqrt[3] {1728} + 5 \times \sqrt{625} - 3 \times \sqrt[3] {27} }

 i) \sqrt[4] {625} \\= \sqrt[4] { 5^{4}} \\= 5^{\frac{4}{4}} \\= 5

 ii) \sqrt[3] { 1728} \\= \sqrt[3] { 12^{3}} \\= 12^{\frac{3}{3}} \\= 12

 iii ) \sqrt{625} \\=\sqrt{25^{2}} \\= 25

 iv ) \sqrt[3] {27} \\= \sqrt[3] {3^{3}} \\= 3^{\frac{3}{3}} \\= 3

 Now , \sqrt[4] {625} - 3 \times \sqrt[3] {1728} + 5 \times \sqrt{625} - 3 \times \sqrt[3] {27}

 =  5 - 3 \times 13 + 5 \times 25 - 3 \times 3 \\= 5 - 39 + 125 - 9 \\= 82

Therefore.,

 \red{ Simplify \: \sqrt[4] {625} - 3 \times \sqrt[3] {1728} + 5 \times \sqrt{625} - 3 \times \sqrt[3] {27} }

 \green {= 82}

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