Solve {left(2x5x22/sqrt{2447{frac{frac{frac{frac{frac{frac{frac{///}{}}{}}{}}{}}{}}}}{}}right)}^2

$${ \left(2x5x2 \frac{ 2 }{ \frac{ \sqrt{ \frac{ 2447 }{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ }{ } }{ } }{ } }{ } }{ } }{ } }{ } }{ } } } }{ } } \right) }^{ 2 }$$

Evaluate

$$\frac{16\left(x_{2}x_{5}\right)^{2}}{2447}$$

Solution Steps

Divide 1 by 1 to get 1.

$$\left(2x_{5}x_{2}\times \frac{2}{\frac{\sqrt{\frac{2447}{\frac{\frac{\frac{\frac{\frac{\frac{\frac{1}{1}}{1}}{1}}{1}}{1}}{1}}{1}}}}{1}}\right)^{2}$$

Divide 1 by 1 to get 1.

$$\left(2x_{5}x_{2}\times \frac{2}{\frac{\sqrt{\frac{2447}{\frac{\frac{\frac{\frac{\frac{\frac{1}{1}}{1}}{1}}{1}}{1}}{1}}}}{1}}\right)^{2}$$

Divide 1 by 1 to get 1.

$$\left(2x_{5}x_{2}\times \frac{2}{\frac{\sqrt{\frac{2447}{\frac{\frac{\frac{\frac{\frac{1}{1}}{1}}{1}}{1}}{1}}}}{1}}\right)^{2}$$

Divide 1 by 1 to get 1.

$$\left(2x_{5}x_{2}\times \frac{2}{\frac{\sqrt{\frac{2447}{\frac{\frac{\frac{\frac{1}{1}}{1}}{1}}{1}}}}{1}}\right)^{2}$$

Divide 1 by 1 to get 1.

$$\left(2x_{5}x_{2}\times \frac{2}{\frac{\sqrt{\frac{2447}{\frac{\frac{\frac{1}{1}}{1}}{1}}}}{1}}\right)^{2}$$

Divide 1 by 1 to get 1.

$$\left(2x_{5}x_{2}\times \frac{2}{\frac{\sqrt{\frac{2447}{\frac{\frac{1}{1}}{1}}}}{1}}\right)^{2}$$

Divide 1 by 1 to get 1.

$$\left(2x_{5}x_{2}\times \frac{2}{\frac{\sqrt{\frac{2447}{\frac{1}{1}}}}{1}}\right)^{2}$$

Divide 1 by 1 to get 1.

$$\left(2x_{5}x_{2}\times \frac{2}{\frac{\sqrt{\frac{2447}{1}}}{1}}\right)^{2}$$

Divide 2 by \frac{\sqrt{\frac{2447}{1}}}{1} by multiplying 2 by the reciprocal of \frac{\sqrt{\frac{2447}{1}}}{1}.

$$\left(2x_{5}x_{2}\times \frac{2}{\sqrt{\frac{2447}{1}}}\right)^{2}$$

Anything divided by one gives itself.

$$\left(2x_{5}x_{2}\times \frac{2}{\sqrt{2447}}\right)^{2}$$

Rationalize the denominator of \frac{2}{\sqrt{2447}} by multiplying numerator and denominator by \sqrt{2447}.

$$\left(2x_{5}x_{2}\times \frac{2\sqrt{2447}}{\left(\sqrt{2447}\right)^{2}}\right)^{2}$$

The square of \sqrt{2447} is 2447.

$$\left(2x_{5}x_{2}\times \frac{2\sqrt{2447}}{2447}\right)^{2}$$

Express 2\times \frac{2\sqrt{2447}}{2447} as a single fraction.

$$\left(\frac{2\times 2\sqrt{2447}}{2447}x_{5}x_{2}\right)^{2}$$

Expand \left(\frac{2\times 2\sqrt{2447}}{2447}x_{5}x_{2}\right)^{2}.

$$\left(\frac{2\times 2\sqrt{2447}}{2447}\right)^{2}x_{5}^{2}x_{2}^{2}$$

Multiply 2 and 2 to get 4.

$$\left(\frac{4\sqrt{2447}}{2447}\right)^{2}x_{5}^{2}x_{2}^{2}$$

To raise \frac{4\sqrt{2447}}{2447} to a power, raise both numerator and denominator to the power and then divide.

$$\frac{\left(4\sqrt{2447}\right)^{2}}{2447^{2}}x_{5}^{2}x_{2}^{2}$$

Express \frac{\left(4\sqrt{2447}\right)^{2}}{2447^{2}}x_{5}^{2} as a single fraction.

$$\frac{\left(4\sqrt{2447}\right)^{2}x_{5}^{2}}{2447^{2}}x_{2}^{2}$$

Express \frac{\left(4\sqrt{2447}\right)^{2}x_{5}^{2}}{2447^{2}}x_{2}^{2} as a single fraction.

$$\frac{\left(4\sqrt{2447}\right)^{2}x_{5}^{2}x_{2}^{2}}{2447^{2}}$$

Expand \left(4\sqrt{2447}\right)^{2}.

$$\frac{4^{2}\left(\sqrt{2447}\right)^{2}x_{5}^{2}x_{2}^{2}}{2447^{2}}$$

Calculate 4 to the power of 2 and get 16.

$$\frac{16\left(\sqrt{2447}\right)^{2}x_{5}^{2}x_{2}^{2}}{2447^{2}}$$

The square of \sqrt{2447} is 2447.

$$\frac{16\times 2447x_{5}^{2}x_{2}^{2}}{2447^{2}}$$

Multiply 16 and 2447 to get 39152.

$$\frac{39152x_{5}^{2}x_{2}^{2}}{2447^{2}}$$

Calculate 2447 to the power of 2 and get 5987809.

$$\frac{39152x_{5}^{2}x_{2}^{2}}{5987809}$$

Divide 39152x_{5}^{2}x_{2}^{2} by 5987809 to get \frac{16}{2447}x_{5}^{2}x_{2}^{2}.

$$\frac{16}{2447}x_{5}^{2}x_{2}^{2}$$

Expand

$$\frac{16\left(x_{2}x_{5}\right)^{2}}{2447}$$

Solution Steps

Divide 1 by 1 to get 1.

$$\left(2x_{5}x_{2}\times \frac{2}{\frac{\sqrt{\frac{2447}{\frac{\frac{\frac{\frac{\frac{\frac{\frac{1}{1}}{1}}{1}}{1}}{1}}{1}}{1}}}}{1}}\right)^{2}$$

Divide 1 by 1 to get 1.

$$\left(2x_{5}x_{2}\times \frac{2}{\frac{\sqrt{\frac{2447}{\frac{\frac{\frac{\frac{\frac{\frac{1}{1}}{1}}{1}}{1}}{1}}{1}}}}{1}}\right)^{2}$$

Divide 1 by 1 to get 1.

$$\left(2x_{5}x_{2}\times \frac{2}{\frac{\sqrt{\frac{2447}{\frac{\frac{\frac{\frac{\frac{1}{1}}{1}}{1}}{1}}{1}}}}{1}}\right)^{2}$$

Divide 1 by 1 to get 1.

$$\left(2x_{5}x_{2}\times \frac{2}{\frac{\sqrt{\frac{2447}{\frac{\frac{\frac{\frac{1}{1}}{1}}{1}}{1}}}}{1}}\right)^{2}$$

Divide 1 by 1 to get 1.

$$\left(2x_{5}x_{2}\times \frac{2}{\frac{\sqrt{\frac{2447}{\frac{\frac{\frac{1}{1}}{1}}{1}}}}{1}}\right)^{2}$$

Divide 1 by 1 to get 1.

$$\left(2x_{5}x_{2}\times \frac{2}{\frac{\sqrt{\frac{2447}{\frac{\frac{1}{1}}{1}}}}{1}}\right)^{2}$$

Divide 1 by 1 to get 1.

$$\left(2x_{5}x_{2}\times \frac{2}{\frac{\sqrt{\frac{2447}{\frac{1}{1}}}}{1}}\right)^{2}$$

Divide 1 by 1 to get 1.

$$\left(2x_{5}x_{2}\times \frac{2}{\frac{\sqrt{\frac{2447}{1}}}{1}}\right)^{2}$$

Divide 2 by \frac{\sqrt{\frac{2447}{1}}}{1} by multiplying 2 by the reciprocal of \frac{\sqrt{\frac{2447}{1}}}{1}.

$$\left(2x_{5}x_{2}\times \frac{2}{\sqrt{\frac{2447}{1}}}\right)^{2}$$

Anything divided by one gives itself.

$$\left(2x_{5}x_{2}\times \frac{2}{\sqrt{2447}}\right)^{2}$$

Rationalize the denominator of \frac{2}{\sqrt{2447}} by multiplying numerator and denominator by \sqrt{2447}.

$$\left(2x_{5}x_{2}\times \frac{2\sqrt{2447}}{\left(\sqrt{2447}\right)^{2}}\right)^{2}$$

The square of \sqrt{2447} is 2447.

$$\left(2x_{5}x_{2}\times \frac{2\sqrt{2447}}{2447}\right)^{2}$$

Express 2\times \frac{2\sqrt{2447}}{2447} as a single fraction.

$$\left(\frac{2\times 2\sqrt{2447}}{2447}x_{5}x_{2}\right)^{2}$$

Expand \left(\frac{2\times 2\sqrt{2447}}{2447}x_{5}x_{2}\right)^{2}.

$$\left(\frac{2\times 2\sqrt{2447}}{2447}\right)^{2}x_{5}^{2}x_{2}^{2}$$

Multiply 2 and 2 to get 4.

$$\left(\frac{4\sqrt{2447}}{2447}\right)^{2}x_{5}^{2}x_{2}^{2}$$

To raise \frac{4\sqrt{2447}}{2447} to a power, raise both numerator and denominator to the power and then divide.

$$\frac{\left(4\sqrt{2447}\right)^{2}}{2447^{2}}x_{5}^{2}x_{2}^{2}$$

Express \frac{\left(4\sqrt{2447}\right)^{2}}{2447^{2}}x_{5}^{2} as a single fraction.

$$\frac{\left(4\sqrt{2447}\right)^{2}x_{5}^{2}}{2447^{2}}x_{2}^{2}$$

Express \frac{\left(4\sqrt{2447}\right)^{2}x_{5}^{2}}{2447^{2}}x_{2}^{2} as a single fraction.

$$\frac{\left(4\sqrt{2447}\right)^{2}x_{5}^{2}x_{2}^{2}}{2447^{2}}$$

Expand \left(4\sqrt{2447}\right)^{2}.

$$\frac{4^{2}\left(\sqrt{2447}\right)^{2}x_{5}^{2}x_{2}^{2}}{2447^{2}}$$

Calculate 4 to the power of 2 and get 16.

$$\frac{16\left(\sqrt{2447}\right)^{2}x_{5}^{2}x_{2}^{2}}{2447^{2}}$$

The square of \sqrt{2447} is 2447.

$$\frac{16\times 2447x_{5}^{2}x_{2}^{2}}{2447^{2}}$$

Multiply 16 and 2447 to get 39152.

$$\frac{39152x_{5}^{2}x_{2}^{2}}{2447^{2}}$$

Calculate 2447 to the power of 2 and get 5987809.

$$\frac{39152x_{5}^{2}x_{2}^{2}}{5987809}$$

Divide 39152x_{5}^{2}x_{2}^{2} by 5987809 to get \frac{16}{2447}x_{5}^{2}x_{2}^{2}.

$$\frac{16}{2447}x_{5}^{2}x_{2}^{2}$$