Solve (6sqrt{6}-1)(5sqrt{6}-2)

$$( 6 \sqrt { 6 } - 1 ) ( 5 \sqrt { 6 } - 2 )$$

Evaluate

$$182-17\sqrt{6}\approx 140.358674373$$

Solution Steps

Apply the distributive property by multiplying each term of 6\sqrt{6}-1 by each term of 5\sqrt{6}-2.

$$30\left(\sqrt{6}\right)^{2}-12\sqrt{6}-5\sqrt{6}+2$$

The square of \sqrt{6} is 6.

$$30\times 6-12\sqrt{6}-5\sqrt{6}+2$$

Multiply 30 and 6 to get 180.

$$180-12\sqrt{6}-5\sqrt{6}+2$$

Combine -12\sqrt{6} and -5\sqrt{6} to get -17\sqrt{6}.

$$180-17\sqrt{6}+2$$

Add 180 and 2 to get 182.

$$182-17\sqrt{6}$$