Find the value of [6.25 × 6.25 - 1.75 × 1.75] / 4.5

Solution:

Given, [(6.25 × 6.25) - (1.75 × 1.75)] / 4.5 = [(6.25)² - (1.75)²] / 4.5

Using the identity: a² - b² = (a + b) (a - b)

⇒ [(6.25)² - (1.75)²] / 4.5 = [(6.25 + 1.75)(6.25 - 1.75)] / 4.5

= [(8)( 4.5)] / 4.5

= 8

✦ Try This: Find the value of [(1.1 × 1.1) - (0.9 × 0.9)] /0.1

Given, [(1.1 × 1.1) - (0.9 × 0.9)] /0.1= [(1.1)² - (0.9)²]/0.1

Using the identity: a² - b² = (a + b) (a - b)

⇒[(1.1)² - (0.9)²]/0.1 = [(1.1 - 0.9)(1.1 + 0.9)]/0.1

=(0.2)(2)/0.1 =4

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 9

NCERT Exemplar Class 8 Maths Chapter 7 Problem 120 (i)

Find the value of [6.25 × 6.25 - 1.75 × 1.75] / 4.5

Summary:

The value of [(6.25 × 6.25) - (1.75 × 1.75)] / 4.5 is 8

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