Solve sqrt{7^2*4^2*3^2}=7

$$\sqrt { 7 ^ { 2 } \times 4 ^ { 2 } \times 3 ^ { 2 } } = 7$$

Verify

Solution Steps

Calculate 7 to the power of 2 and get 49.

$$\sqrt{49\times 4^{2}\times 3^{2}}=7$$

Calculate 4 to the power of 2 and get 16.

$$\sqrt{49\times 16\times 3^{2}}=7$$

Multiply 49 and 16 to get 784.

$$\sqrt{784\times 3^{2}}=7$$

Calculate 3 to the power of 2 and get 9.

$$\sqrt{784\times 9}=7$$

Multiply 784 and 9 to get 7056.

$$\sqrt{7056}=7$$

Calculate the square root of 7056 and get 84.

$$84=7$$

Compare 84 and 7.

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