Question

evaluate using long division method. 56​

Answer 1

Answer:

Take two perfect square numbers which are just smaller than 56 and just greater than 56. √49 < √56 < √64

7 < √ 56 < 8

Multiply the inequality by 10

70 < 10 √56 < 80

√ 4900 < √5600 < √ 6400

Move more closer to the inequality

√ 5476 < √5600 < √ 5625

74 < 10 √ 56 < 75

Divide both sides by 10

7.4 < √ 56 < 7.5

Take the average of both lower and upper limits.

√56 ≈ (7.4 + 7.5) / 2

√56 ≈ 7.45

Step-by-step explanation:

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