Q.

State true/false:

The square root of 169 by the method of repeated subtraction is 14.

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a

True

b

False

answer is B.

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Detailed Solution

The square root of 169 can be obtained by the method of repeated subtraction as follows:

(i) 169-1=168 (ii) 168-3=165 (iii) 165-5=160 

(iv) 160-7=153 (v) 153-9=144 (vi) 144-11=133

(vii) 133-13=120 (viii) 120-15=105 (ix) 105-17=88 

(x) 88-19=69 (xi) 69-21=48 (xii) 48-23=25 

(xiii) 25-25=0

We have subtracted successive odd numbers starting from 1 to 169 and obtained 0 at the 13th step.

Therefore, 169=13.

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