#10; #10;Give , #10; #10; #10; #10; #160; =√(2√(55)+12√(5)) #10; #10; ∵ #10;√(55)=7.44169,√(5)=2.23606 #10; #10; #10; # ...

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Finding Square Root by Long Division Method

Solve: √12√5...

Question

Solve:
$\sqrt{12 \sqrt{5} + 2 \sqrt{55}}$

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Solution

Give ,

$= \sqrt{2 \sqrt{55} + 12 \sqrt{5}}$

$∵ \sqrt{55} = 7.44169, \sqrt{5} = 2.23606$

$∴ \sqrt{2 \sqrt{55} + 12 \sqrt{5}} = \sqrt{2 \times 7.441619 + 12 \times 2.23606}$

$= \sqrt{14.832397 + 26.8328}$

$= \sqrt{41.6665}$

$= 6.454959$

$= 6.455$

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