Question

(2sqrt7+3sqrt6)(5sqrt2+4sqrt3)=

Answer 1

Answer:

$10 \sqrt { 14 } + 8 \sqrt { 21 } + 30 \sqrt { 3 } + 36 \sqrt { 2 }$

Step-by-step explanation:

We are given the following expression and we are to evaluate it:

$(2 \sqrt 7 + 3 \sqrt 6 ) ( 5 \sqrt 2 + 4 \sqrt 3 )$

Expanding this expression by multiplying each term with the rest of the terms to get:

$( 2 \sqrt { 7 } ) ( 5 \sqrt { 2 } + 4 \sqrt { 3 } ) + 3 \sqrt { 6 } ( 5 \sqrt { 2 } + 4 \sqrt { 3 } )$

Further simplifying it to get:

$10 \sqrt { 14 } ) + 8 \sqrt { 21 } ) + 15 \sqrt { 12 } + 12 \sqrt { 18 } )$

$10 \sqrt { 14 } + 8 \sqrt { 21 } + 30 \sqrt { 3 } + 36 \sqrt { 2 }$

Answer 2

Answer:

$10\sqrt{14})+8\sqrt{21})+30\sqrt{3}+36\sqrt{2})$

Step-by-step explanation:

The given product is:

$(2\sqrt{7}+3\sqrt{6})(5\sqrt{2}+4\sqrt{3})$

We expand using the distributive property to get;

$(2\sqrt{7})(5\sqrt{2}+4\sqrt{3})+3\sqrt{6}(5\sqrt{2}+4\sqrt{3})$

Simplify:

$=10\sqrt{14})+8\sqrt{21})+15\sqrt{12}+12\sqrt{18})$

$=10\sqrt{14})+8\sqrt{21})+30\sqrt{3}+36\sqrt{2})$