if √(3-a√10)= √8+√5 then find the value of 'a'..
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Step-by-step explanation:
The correct option is C
-4
√
13
−
a
√
10
=
√
8
+
√
5
⇒
√
8
+
5
−
a
√
10
=
√
8
+
√
5
Squaring both sides,
(
√
8
+
5
−
a
√
10
)
2
=
(
√
8
+
√
5
)
2
⇒
8
+
5
−
a
√
10
=
8
+
5
+
2
×
√
8
×
√
5
⇒
−
a
√
10
=
2
√
40
=
2
×
√
4
×
10
⇒
−
a
√
10
=
2
×
2
×
√
10
⇒
−
a
√
10
=
4
√
10
Comparing, we get
-a =4
⇒
a = -4
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