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Question

Find the square root of:
(i) 441961
(ii) 324841
(iii) 42929
(iv) 21425
(v) 2137196
(vi) 2326121
(vii) 25544729
(viii) 754649
(ix) 39422209
(x) 33343025
(xi) 2127973364
(xii) 381125
(xiii) 23394729
(xiv) 2151169
(xv) 10151225


Solution

(i) We know:
441961=441961
Now, let us compute the square roots of the numerator and the denominator separately.
441=3×3×7×7=3×7=21961=31×31=31441961=2131

(ii)We know:
324841=324841
Now, let us compute the square roots of the numerator and the denominator separately.
324=2×2×3×3×3×3=2×3×3=18841=29×29=29324841=1829
(iii) By looking at the book's answer key, the fraction should be 42949, not 42929.
We know:
42949=22549=22549225=1549=742949=157

(iv) We know:
21425=6425=6425=85

(v) We know:
2137196=529196=529196
Now, let us compute the square roots of the numerator and the denominator separately.
529=23×23=23196=2×2×7×7=2×7=142137196=2314

(vi) We know:
2326121=2809121=2809121
Now, let us compute the square roots of the numerator and the denominator separately.

121=112326121=5311

(vii) We know:
25544729=18769729=18769729
Now, let us compute the square roots of the numerator and the denominator separately.

729=2725544729=13727

(viii) We know:
754649=372149=372149
Now, let us compute the square roots of the numerator and the denominator separately.

49=7754649=617

(ix) We know:
39422209=75692209=75692209
Now, let us compute the square roots of the numerator and the denominator separately.

39422209=8747

(x) We know:
33343025=94093025=94093025
Now, let us compute the square roots of the numerator and the denominator separately.

33343025=9755

(xi) We know:
2127973364=734413364=734413364
Now, let us compute the square roots of the numerator and the denominator separately.

2127973364=27158

(xii) We know:
381125=96125=96125
Now, let us compute the square roots of the numerator and the denominator separately.
961=3125=5381125=315

(xiii) We know:
23394729=17161729=17161729
Now, let us compute the square roots of the numerator and the denominator separately.

729=2723394729=13127=42327

(xiv) We know:
2151169=3600169=3600169
Now, let us compute the square roots of the numerator and the denominator separately.
3600=60×60=60169=13×13=132151169=6013=4813

(xv) We know:
10151225=2401225=2401225
Now let us compute the square roots of the numerator and the denominator separately.
2401=7×7×7×7=7×7=49225=3×3×5×5=3×5=1510151225=4915=3415

Mathematics
RD Sharma (2019, 2020)
All

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