Solve (90*72+82*64+sqrt{90*72*82*64}

$$(90 \times 72+82 \times 64+ \sqrt{ 90 \times 72 \times 82 \times 64 }$$

Evaluate

$$288\sqrt{410}+11728\approx 17559.555538619$$

Solution Steps

Multiply 90 and 72 to get 6480. Multiply 82 and 64 to get 5248.

$$6480+5248+\sqrt{90\times 72\times 82\times 64}$$

Add 6480 and 5248 to get 11728.

$$11728+\sqrt{90\times 72\times 82\times 64}$$

Multiply 90 and 72 to get 6480.

$$11728+\sqrt{6480\times 82\times 64}$$

Multiply 6480 and 82 to get 531360.

$$11728+\sqrt{531360\times 64}$$

Multiply 531360 and 64 to get 34007040.

$$11728+\sqrt{34007040}$$

Factor 34007040=288^{2}\times 410. Rewrite the square root of the product \sqrt{288^{2}\times 410} as the product of square roots \sqrt{288^{2}}\sqrt{410}. Take the square root of 288^{2}.

$$11728+288\sqrt{410}$$