lampster45030 lampster45030

08-08-2019
Mathematics

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12. What is the simplified form of 45 to the fifth power square root

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stevengeeky stevengeeky

08-08-2019

Answer:

[tex]6075 \sqrt{5}[/tex]

Step-by-step explanation:

[tex]\sqrt{45^5}\\= \sqrt{(3^2\times5)^5}\\= \sqrt{3^{10}\times5^5}\\= 3^5 \sqrt{5^4 \times 5}\\= 3^5 \times 5^2 \sqrt{5}\\= 243 \times 25 \sqrt{5}\\= 6075 \sqrt{5}[/tex]

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