Solve 5*1sqrt{2+5^2}

$$5 \times 1 \sqrt{ 2+ { 5 }^{ 2 } }$$

Evaluate

$$15\sqrt{3}\approx 25.980762114$$

Solution Steps

Multiply 1 and 5 to get 5.

$$5\sqrt{2+5^{2}}$$

Calculate 5 to the power of 2 and get 25.

$$5\sqrt{2+25}$$

Add 2 and 25 to get 27.

$$5\sqrt{27}$$

Factor 27=3^{2}\times 3. Rewrite the square root of the product \sqrt{3^{2}\times 3} as the product of square roots \sqrt{3^{2}}\sqrt{3}. Take the square root of 3^{2}.

$$5\times 3\sqrt{3}$$

Multiply 5 and 3 to get 15.

$$15\sqrt{3}$$