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Byju's Answer
Standard VIII
Mathematics
Finding Square Root through Prime Factorisation
Simplify √2...
Question
Simplify
√
2704
+
√
144
+
√
289
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Solution
Prime factors of 2704 are
2704
=
2
×
2
×
2
×
2
×
13
×
13
so
√
2704
=
2
×
2
×
13
=
52
Prime factors of
144
are
144
=
12
×
12
√
144
=
12
Prime factors of
289
are
17
×
17
so,
√
289
=
17
√
2704
+
√
144
+
√
289
=
52
+
12
+
17
=
81
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Similar questions
Q.
√2704 +√144 + √289
Q.
Simplify:
(i)
;
(ii)
;
(iii)
;
(iv)
(v)
;
(vi)
.