# The value of $\frac{(3.4567)^2-(3.4533)^2}{0.0034}$ is:

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The value of $\frac{(3.4567)^2-(3.4533)^2}{0.0034}$ is:
1. 6.81
2. 7.1
3. 7
4. 6.91

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Correct Answer - Option 4 : 6.91

Concept Used:

a2 - b2 = (a + b)(a - b)

Concept Used:

$\frac{(3.4567)^2-(3.4533)^2}{0.0034}$

⇒ $\frac{(3.4567 + 3.4533) \times (3.4567 - 3.4533)}{0.0034}$

⇒ ${6.91 \times 0.0034} \over 0.0034$

⇒ 6.91

∴ The required value of the given expression is 6.91