Step-by-step explanation:
(3√5-5-√2)(4√5+3√2)
3√5(4√5+3√2)-5(4√5+3√2)-√2(4√5+3√2)
12×5
Answer:
[tex](35 \sqrt{5} −52 \sqrt{2} )(45 \sqrt{25} +32 \sqrt{2} )[/tex]
[tex]=12×5+9 \sqrt{10} - 20 \sqrt{10} - 15 \times 2 \\ (opening \: the \: bracket \: and \: simplifying) [/tex]
[tex]=60−11 \sqrt{10} - 30[/tex]
[tex]=30−11 \sqrt{10} [/tex]
[tex]Therefore, 30−11 \sqrt{10} is \: \: the \: \: required \: \: answer.[/tex]
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Verified answer
Step-by-step explanation:
(3√5-5-√2)(4√5+3√2)
3√5(4√5+3√2)-5(4√5+3√2)-√2(4√5+3√2)
12×5
Answer:
[tex]\huge\mathcal{\fcolorbox{blue}{white}{\red{Answer}}}[/tex]
[tex](35 \sqrt{5} −52 \sqrt{2} )(45 \sqrt{25} +32 \sqrt{2} )[/tex]
[tex]=12×5+9 \sqrt{10} - 20 \sqrt{10} - 15 \times 2 \\ (opening \: the \: bracket \: and \: simplifying) [/tex]
[tex]=60−11 \sqrt{10} - 30[/tex]
[tex]=30−11 \sqrt{10} [/tex]
[tex]Therefore, 30−11 \sqrt{10} is \: \: the \: \: required \: \: answer.[/tex]