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

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kudzordzifrancis kudzordzifrancis · Answer 1 · 2019-03-17T05:38:51+01:00

Answer:

[tex]10\sqrt{14})+8\sqrt{21})+30\sqrt{3}+36\sqrt{2})[/tex]

Step-by-step explanation:

The given product is:

[tex](2\sqrt{7}+3\sqrt{6})(5\sqrt{2}+4\sqrt{3})[/tex]

We expand using the distributive property to get;

[tex](2\sqrt{7})(5\sqrt{2}+4\sqrt{3})+3\sqrt{6}(5\sqrt{2}+4\sqrt{3})[/tex]

Simplify:

[tex]=10\sqrt{14})+8\sqrt{21})+15\sqrt{12}+12\sqrt{18})[/tex]

[tex]=10\sqrt{14})+8\sqrt{21})+30\sqrt{3}+36\sqrt{2})[/tex]

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alinakincsem alinakincsem · Answer 2 · 2019-03-17T09:42:45+01:00

Answer:

[tex] 10 \sqrt { 14 } + 8 \sqrt { 21 } + 30 \sqrt { 3 } + 36 \sqrt { 2 } [/tex]

Step-by-step explanation:

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

[tex] (2 \sqrt 7 + 3 \sqrt 6 ) ( 5 \sqrt 2 + 4 \sqrt 3 ) [/tex]

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

[tex] ( 2 \sqrt { 7 } ) ( 5 \sqrt { 2 } + 4 \sqrt { 3 } ) + 3 \sqrt { 6 } ( 5 \sqrt { 2 } + 4 \sqrt { 3 } ) [/tex]

Further simplifying it to get:

[tex] 10 \sqrt { 14 } ) + 8 \sqrt { 21 } ) + 15 \sqrt { 12 } + 12 \sqrt { 18 } ) [/tex]

[tex] 10 \sqrt { 14 } + 8 \sqrt { 21 } + 30 \sqrt { 3 } + 36 \sqrt { 2 } [/tex]