Solve sqrt{15515*5-15)(15*5-11(15*5-6}

$$\sqrt { 15515 \cdot 5 - 15 ) ( 15 \cdot 5 - 11 ( 15 \cdot 5 - 6 }$$

Evaluate

$$-1368\sqrt{19390}\approx -190491.236963804$$

Solution Steps

Multiply 15515 and 5 to get 77575.

$$\sqrt{77575-15}\left(15\times 5-11\left(15\times 5-6\right)\right)$$

Subtract 15 from 77575 to get 77560.

$$\sqrt{77560}\left(15\times 5-11\left(15\times 5-6\right)\right)$$

Factor 77560=2^{2}\times 19390. Rewrite the square root of the product \sqrt{2^{2}\times 19390} as the product of square roots \sqrt{2^{2}}\sqrt{19390}. Take the square root of 2^{2}.

$$2\sqrt{19390}\left(15\times 5-11\left(15\times 5-6\right)\right)$$

Multiply 15 and 5 to get 75.

$$2\sqrt{19390}\left(75-11\left(15\times 5-6\right)\right)$$

Multiply 15 and 5 to get 75.

$$2\sqrt{19390}\left(75-11\left(75-6\right)\right)$$

Subtract 6 from 75 to get 69.

$$2\sqrt{19390}\left(75-11\times 69\right)$$

Multiply 11 and 69 to get 759.

$$2\sqrt{19390}\left(75-759\right)$$

Subtract 759 from 75 to get -684.

$$2\sqrt{19390}\left(-684\right)$$

Multiply 2 and -684 to get -1368.

$$-1368\sqrt{19390}$$