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Byju's Answer
Standard X
Mathematics
Quadratic Equations
Question 3 If...
Question
Question 3
If
√
2
=
1.414
and
√
3
=
1.732
, then find the value of
4
3
√
3
−
2
√
2
+
3
3
√
3
+
2
√
2
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Solution
We have,
4
3
√
3
−
2
√
2
+
3
3
√
3
+
2
√
2
=
4
(
3
√
3
+
2
√
2
)
+
3
(
3
√
3
−
2
√
2
)
(
3
√
3
−
2
√
2
)
(
3
√
3
+
2
√
2
)
=
12
√
3
+
8
√
2
+
9
√
3
−
6
√
2
(
3
√
3
)
2
−
(
2
√
2
)
2
[Using identity,
(
a
+
b
)
(
a
−
b
)
=
a
2
−
b
2
]
=
21
√
3
+
2
√
2
27
−
8
=
21
√
13
+
2
√
2
19
=
21
×
1.732
+
2
×
1.414
19
[Put
√
2
=
1.414
and
√
3
=
1.732
]
=
36.372
+
2.828
19
=
39.2
19
=
2.0631
=
2.063
Suggest Corrections
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Similar questions
Q.
If
√
2
=
1.414
,
√
3
=
1.732
,
then find the value of
4
3
√
3
−
2
√
2
+
3
3
√
3
+
2
√
2
.
Q.
If
√
2
=
1.414
,
√
3
=
1.732
,
then the value of
4
3
√
3
−
2
√
2
+
3
3
√
3
+
2
√
2
is 1.063 If true then enter
1
and if false then enter
0
Q.
If
√
2
=
1.414
,
√
3
=
1.732
,
√
5
=
2.236
and
√
6
=
2.449
,
find the value of
2
+
√
3
2
−
√
3
+
2
−
√
3
2
+
√
3
+
√
3
−
1
√
3
+
1
.
Q.
If
√
2
=
1.414
,
√
3
=
1.732
,
√
5
=
2.236
and
√
6
=
2.449
, find the approximate value of
2
+
√
3
2
−
√
3
+
2
−
√
3
2
+
√
3
+
√
3
−
1
√
3
+
1
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
2
+
√
3
3
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