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If \(\sqrt{a}+\sqrt{b}=5\sqrt2,\) and \(a\cdot b=144,\) what is the value of \(a+b?\)

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Re: If \(\sqrt{a}+\sqrt{b}=5\sqrt2,\) and \(a\cdot b=144,\) what is the value of \(a+b?\)

by mathisfun » Sun Nov 29, 2020 11:01 am
Squaring both sides,
a + b + 2root (ab)= 50
a + b + 2 root(144)= 50
a+b= 50-24 = 26
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