Question

√66 estimate the value
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Answer 1

Step-by-step explanation:

$\sqrt{66} = \sqrt{11 \times 2 \times 3} \: \: which \: is \: close \: to \: 8.1$

Answer 2

Answer:

Step 1: Just rememb√66= (8+x)

Squaring both sides,

66 = (8+x)^2

66= 8^2 + x^2 + 2×8×x

66 = 64 + x^2 + 16x

2= x^2 +16x

You can either solve this quadratic equation by quadratic formula or

By assumption: If I assume that this equation doesn’t have x^2 then the equation left will be

2= 16x

So, x= 0.125 and square of this number will be really small which can be ignored.

So, finally this is what I did earlier 8 + 2/16 = 8.125

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step by step explanation:

step 1: Remember nearest square number and that should be less/equal to this number. Like 64 i.e. 8^2. So this will be your first digit.

Step 2: Take the remaining number i.e. 66–64= 2 and divide it by the twice of number which you obtained in step 1. Like, 2 ÷ (8×2) = 0.125

Step 3: Now add this 8 and 0.125 so your answer will be approximately 8.125.