Solve (2sqrt{10}-sqrt{5})(2sqrt{13}+1)=

$$( 2 \sqrt { 10 } - \sqrt { 5 } ) ( 2 \sqrt { 13 } + 1 ) =$$

Evaluate

$$2\sqrt{10}+4\sqrt{130}-\sqrt{5}-2\sqrt{65}\approx 33.57098885$$

Solution Steps

Apply the distributive property by multiplying each term of 2\sqrt{10}-\sqrt{5} by each term of 2\sqrt{13}+1.

$$4\sqrt{10}\sqrt{13}+2\sqrt{10}-2\sqrt{13}\sqrt{5}-\sqrt{5}$$

To multiply \sqrt{10} and \sqrt{13}, multiply the numbers under the square root.

$$4\sqrt{130}+2\sqrt{10}-2\sqrt{13}\sqrt{5}-\sqrt{5}$$

To multiply \sqrt{13} and \sqrt{5}, multiply the numbers under the square root.

$$4\sqrt{130}+2\sqrt{10}-2\sqrt{65}-\sqrt{5}$$