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Byju's Answer
Standard IX
Mathematics
Operations on Rational and Irrational Numbers
Find the valu...
Question
Find the value to three places of decimals of each of the following. It is given that
√
2
=
1.414
,
√
3
=
1.732
,
√
5
=
2.236
and
√
10
=
3.162
√
10
+
√
15
√
2
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Solution
Solution:-
Given that:-
√
2
=
1.414
√
3
=
1.732
√
5
=
2.236
√
10
=
3.162
∴
√
10
+
√
15
√
2
⇒
=
√
10
+
√
3.5
√
2
⇒
=
√
10
+
√
3
.
√
5
√
2
⇒
=
3.162
+
(
1.732
×
2.236
)
1.414
⇒
=
3.162
+
3.872752
1.414
⇒
=
7.034752
1.414
⇒
=
4.9750721
≈
4.975
Hence, the correct answer is
4.975
.
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Similar questions
Q.
Find the value to three places of decimals .It is given that root2=1.414,root3=1.732,root10=3.162 and root5=2.236.Then find root10-root5/root2?
Q.
Find the value to three places of decimals of each of the following. It is given that
2
=
1
.
414
,
3
=
1
.
732
,
5
=
2
.
236
and
10
=
3
.
162
.
(i)
2
3
(ii)
3
10
(iii)
5
+
1
2
(iv)
10
+
15
2
(v)
2
+
3
3
(vi)
2
-
1
5