Question

simplify simplify 4 root 81 - 3 root 3 43 + 15 root 32 + root 225 ​

Answer 1

4 th root 81 is 3
3 rd root 343 is 7
5 th root 32 is 5
Root 225 is 15
3-7+5+15
Answer is 16

Answer 2

The value of the expression is 13.

Step-by-step explanation:

The expression is:

$\sqrt[4]{81} -\sqrt[3]{343}+\sqrt[5]{32} +\sqrt{225}$

Compute the value of the expression as follows:

$\sqrt[4]{81} -\sqrt[3]{343}+\sqrt[5]{32} +\sqrt{225}$

$=\sqrt[4]{3^{4}} -\sqrt[3]{7^{3}}+\sqrt[5]{2^{5}} +\sqrt{15^{2}}\\=(3^{4})^{1/4}-(7^{3})^{1/3}+(2^{5})^{1/5}+(15^{2})^{1/2}\\=3-7+2+15\\=13$

Thus, the value of the expression is 13.

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