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