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Q.

Estimate: $\sqrt{60}$ .

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a

7.7

b

7

c

7.2

d

7.5

answer is A.

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Detailed Solution

Given

\sqrt{60}

.

60

is in between two perfect squares:

49

, which is

7^{2}

and

64

which is

8^{2}

.
The difference between

64

and

49

is

15,

so

60

is little more than

\frac{2}{3}

of the way toward

64

from

49

.
A reasonable estimate for

\sqrt{60}

, then would be about

7.7

which is a little more than

\frac{2}{3}

toward

8

from

7

.

7.7 \times 7.7 = 59.29

This is closest to 60.
Thus the estimated square root of 60 is 7.7.
Therefore, option (1) is correct.

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