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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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by Gmat_mission » Sun Nov 29, 2020 12:45 am

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

A. \(\sqrt{26}\)
B. \(\sqrt{38}\)
C. \(\sqrt{338}\)
D. \(26\)
E. \(38\)

Answer: D

Source: EMPOWERgmat
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Source: — Problem Solving |

Squaring both sides,
a + b + 2root (ab)= 50
a + b + 2 root(144)= 50
a+b= 50-24 = 26
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