Examples with solutions for Root of a Root: Solving the equation

Exercise #1

98x=7 \frac{\sqrt{98}}{\sqrt{x}}=7

Video Solution

Answer

2 2

Exercise #2

Solve the following exercise:

81=x63 \sqrt{\sqrt{81}}=\sqrt[3]{\sqrt{x^6}}

Video Solution

Answer

x=3 x=3

Exercise #3

Solve the following exercise:

144=x10353 \sqrt{144}=\sqrt[3]{\sqrt[5]{x^{10\cdot3}}}

Video Solution

Answer

x2=12 x^2=12

Exercise #4

Solve the following exercise:

x105=81 \sqrt[5]{\sqrt[]{x^{10}}}=\sqrt{\sqrt{81}}

Video Solution

Answer

x=3 x=3

Exercise #5

Solve the following exercise:

16643=x2 \sqrt{\frac{16}{\sqrt[3]{64}}}=\sqrt{x^2}

Video Solution

Answer

x=2 x=2

Exercise #6

Solve the following exercise:

x6=1625 \sqrt{x^6}=\sqrt{\sqrt{16}}\cdot\sqrt{25}

Video Solution

Answer

x3=10 x^3=10