Question

Evaluate √50625 and hence find the value of √506.25 + √5.0625

Answer 1

Answer:

24.75

Step-by-step explanation:

√50625 = √3 × 3 ×3 × 3 × 5 × 5 × 5 × 5

= 3 × 3 × 5 × 5

= (3 × 3)(5 × 5)

= (9)(25)

= 225

now,

√506.25 + √5.0625

√506.25 = √50625

100

= √50625 => 225

√100 10

= 22.5

√5.0625 = √50625 => √50625

10000 √10000

= 225

100

= 2.25

hence, √506.25 + √5.0625 = 22.5 + 2.25

• = 22.5 + 2.25
• = 22.50 + 2.25
• = 24.75