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Byju's Answer
Standard VIII
Mathematics
Finding Square Root of a Number
Find the valu...
Question
Find the value of
√
26
−
15
√
3
5
√
2
−
√
38
+
5
√
3
Open in App
Solution
√
26
−
15
√
3
5
√
2
−
√
38
+
5
√
3
=
√
52
−
30
√
3
√
2
(
5
√
2
−
√
38
+
5
√
3
)
..... Multiplying and dividing by
√
2
=
√
(
3
√
3
−
5
)
2
√
2
(
5
√
2
−
√
38
+
5
√
3
)
=
3
√
3
−
5
√
2
×
(
5
√
2
−
√
38
+
5
√
3
)
=
3
√
3
−
5
10
−
√
76
+
10
√
3
=
3
√
3
−
5
10
−
(
1
+
5
√
3
)
=
3
√
3
−
5
9
−
√
3
=
1
√
3
=
√
3
3
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Similar questions
Q.
Find the value of
26
−
15
√
3
[
5
√
2
−
√
38
+
5
√
3
]
2
+
√
10
+
√
18
√
8
+
√
(
3
−
√
5
)
.
Q.
Find the value of
{(26-15√3)/[5√2-√(38+5√3)
2
}
+[(√10+√18)/(√8+√(3-√5)]
(A) 1/3
(B) 2/3
(C) 3/5
(D) 7/3
(E) None
(question from IMO Olympiad 2016 qno.49 of vedantu)
Q.
If
A
=
(
5
√
2
+
6
√
3
)
(
4
√
2
−
5
√
3
)
and
B
=
(
7
√
2
+
5
√
3
)
(
8
√
2
−
5
√
3
)
, then find the value of
A
+
B
Q.
Find the value of:
∣
∣ ∣ ∣
∣
√
13
+
√
3
2
√
5
√
5
√
15
+
√
26
5
√
10
3
+
√
65
√
15
5
∣
∣ ∣ ∣
∣
Q.
Find the value of
(
26
+
15
√
3
)
2
3
−
(
26
+
15
√
3
)
−
2
3
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