Solve x=sqrt{{left(7sqrt{5}right)}^2-14^2}

$$x= \sqrt{ { \left(7 \sqrt{ 5 } \right) }^{ 2 } - { 14 }^{ 2 } }$$

Solve for x

$$x=7$$

Steps for Solving Linear Equation

Expand \left(7\sqrt{5}\right)^{2}.

$$x=\sqrt{7^{2}\left(\sqrt{5}\right)^{2}-14^{2}}$$

Calculate 7 to the power of 2 and get 49.

$$x=\sqrt{49\left(\sqrt{5}\right)^{2}-14^{2}}$$

The square of \sqrt{5} is 5.

$$x=\sqrt{49\times 5-14^{2}}$$

Multiply 49 and 5 to get 245.

$$x=\sqrt{245-14^{2}}$$

Calculate 14 to the power of 2 and get 196.

$$x=\sqrt{245-196}$$

Subtract 196 from 245 to get 49.

$$x=\sqrt{49}$$

Calculate the square root of 49 and get 7.

$$x=7$$

Assign x

$$x≔7$$