Solve sqrt{88*80*78*73*67}=

$$\sqrt { 88 \cdot 80 \cdot 78 \cdot 73 \cdot 67 } =$$

Evaluate

$$16\sqrt{10491195}\approx 51824.182772138$$

Solution Steps

Multiply 88 and 80 to get 7040.

$$\sqrt{7040\times 78\times 73\times 67}$$

Multiply 7040 and 78 to get 549120.

$$\sqrt{549120\times 73\times 67}$$

Multiply 549120 and 73 to get 40085760.

$$\sqrt{40085760\times 67}$$

Multiply 40085760 and 67 to get 2685745920.

$$\sqrt{2685745920}$$

Factor 2685745920=16^{2}\times 10491195. Rewrite the square root of the product \sqrt{16^{2}\times 10491195} as the product of square roots \sqrt{16^{2}}\sqrt{10491195}. Take the square root of 16^{2}.

$$16\sqrt{10491195}$$