Question

simplify this
$4 \sqrt{81} - 8 \sqrt[3]{216} + 15 \sqrt[5]{32} + \sqrt{225}$
please solve this​

Answer 1

The value of the expression $4\sqrt{81}-8\sqrt[3]{216}+15\sqrt[5]{32}+\sqrt{225}$ is 33.

Step-by-step explanation:

The expression is:

$4\sqrt{81}-8\sqrt[3]{216}+15\sqrt[5]{32}+\sqrt{225}$

Solve the expression as follows:

$4\sqrt{81}-8\sqrt[3]{216}+15\sqrt[5]{32}+\sqrt{225}\\=[4\times (81)^{1/2}]-[8\times (216)^{1/3}]+[15\times (32)^{1/5}]+[(225)^{1/2}]$

$=[4\times (9^{2})^{1/2}]-[8\times (6^{3})^{1/3}]+[15\times (2^{5})^{1/5}]+[(15^{2})^{1/2}]$

$=[4\times (9^{2\times {1/2}}]-[8\times (6^{3\times 1/3}]+[15\times (2^{5\times 1/5}]+[(15^{2\times 1/2}]$

$=[4\times 9]-[8\times 6]+[15\times 2]+[15]$

$=36-48+30+15\\=33$

Thus, the value of the expression $4\sqrt{81}-8\sqrt[3]{216}+15\sqrt[5]{32}+\sqrt{225}$ is 33.

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