Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
+1 vote
20.1k views
in Mathematics by (15.0k points)

Find the square roots of the following numbers by the Prime Factorisation Method.

(i) 9216  (ii) 529  (iii) 8100

2 Answers

+1 vote
by (24.9k points)
selected by
 
Best answer

(i) 9216 can be factorised as follows.

2 9216
2 4608
2 2304
2 1152
2 576
2 288
2 144
2 72
2 36
2 18
3 9
3 3
1

9216 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3× 3

∴ √9216 = 2 x 2 x 2 x 2 x 2 x 3 = 96

(ii) 529 can be factorised as follows.

23 529
23 23
1

529 = 23 x 23

∴ √529 = 23

(iii) 8100 can be factorised as follows.

2 8100
2 4050
3 2025
3 675
3 225
3 75
5 25
5 5
1

8100 = 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5

∴ √8100 = 2 x 3 x 3 x 5 = 90 

0 votes
by (3.3k points)
edited by

(i) 9216

Answer:

square root 10Thus, A

nswer = 96

(ii) 529

Answer:

square root 11

Thus, Answer = 23

(iii) 8100

Answer:

square root 12

Thus, Answer = 90

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...