Find the value of the following expression: 4sqrt2+2(sqrt36-sqrt8)

Question
Irrational numbers
asked 2021-02-21
Find the value of the following expression:
\(\displaystyle{4}\sqrt{{2}}+{2}{\left(\sqrt{{36}}-\sqrt{{8}}\right)}\)

Answers (1)

2021-02-22
\(\displaystyle{4}\sqrt{{2}}+{2}{\left(\sqrt{{36}}-\sqrt{{8}}\right)}={4}\sqrt{{2}}+{2}{\left({6}-\sqrt{{{4}\times{2}}}\right)}\)
\(\displaystyle={4}\sqrt{{2}}+{12}-{4}\sqrt{{2}}\)
\(\displaystyle={\left({4}\sqrt{{2}}-{4}\sqrt{{2}}\right)}+{12}\)
=0+12
=12
The answer:
\(\displaystyle{4}\sqrt{{2}}+{2}{\left(\sqrt{{36}}-\sqrt{{8}}\right)}={12}\)
0

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