Solve 35^2-{left(14sqrt{6}right)}^2

$${ 35 }^{ 2 } - { \left(14 \sqrt{ 6 } \right) }^{ 2 }$$

Evaluate

$$49$$

Solution Steps

Calculate 35 to the power of 2 and get 1225.

$$1225-\left(14\sqrt{6}\right)^{2}$$

Expand \left(14\sqrt{6}\right)^{2}.

$$1225-14^{2}\left(\sqrt{6}\right)^{2}$$

Calculate 14 to the power of 2 and get 196.

$$1225-196\left(\sqrt{6}\right)^{2}$$

The square of \sqrt{6} is 6.

$$1225-196\times 6$$

Multiply 196 and 6 to get 1176.

$$1225-1176$$

Subtract 1176 from 1225 to get 49.

$$49$$

Factor

$$7^{2}$$