Solve 58+36sqrt{656}

$$58+36 \sqrt{ 656 }$$

Evaluate

$$144\sqrt{41}+58\approx 980.04989019$$

Solution Steps

Factor 656=4^{2}\times 41. Rewrite the square root of the product \sqrt{4^{2}\times 41} as the product of square roots \sqrt{4^{2}}\sqrt{41}. Take the square root of 4^{2}.

$$58+36\times 4\sqrt{41}$$

Multiply 36 and 4 to get 144.

$$58+144\sqrt{41}$$

Factor

$$2 {(72 \sqrt{41} + 29)} = 980.04989019$$