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We note that

sqrt(81) = 9

sqrt(100) = 10

Since 93 us between 81, & 100 , then the sqrt(93) is between '9' & '10'

Since '93' is aproximately halfway between 81 & 100 we select ,say 9.5

Then 9.5 ^(2) = 90.25 ( too low

Try 9.6

9.6^(2) = 92.16 ( too low , nut closer).

Try 9.61

9.61^(2) = 92.3521

9.62^(2) = 92.5444

9.63^(2) = 92.7369

9.64^(2) = 92.9296

9.642^(2) = 92.9681...

9.6425^(2) = 92.9778...

9,6426^(2) = 92.979...

9.6436^(2) = 92.999,,, ~ 93

Hence the square root of '93' is 9.6436 ( 4 d.p.).

NB You can keep going like this, until you arrive at the actual figure.

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lenpollock

Lvl 16
4mo ago

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