simplify 2/2+√5 + 2/√6 + √5 + 2/√6+√7 + 2/√8 +√7
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1
Answer:
(i) 3√5 (ii) 32√5 (iii) 1√12 (iv) √2√5 (v) √3 +1√2 (vi) √2+√53 (vii) 3√2√5 ... Question 12: If x=√3+12, find the value of 4x3+2x2-8x+7 .
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Answered by
2
7
+
5
2
+
12
−
5
7
−
12
−
7
7
Rationalising the denominators, we have Given exp,
⇒
(
7
+
5
)
2
×
(
7
−
5
)
(
7
−
5
)
+
(
12
−
5
)
7
×
(
12
+
5
)
(
12
+
5
)
−
(
12
−
7
)
7
×
(
12
+
7
)
(
12
+
7
)
⇒
7−5
2(
7
−
5
)
+
12−5
7
12
+
5
−
12−7
5
12
+
7
⇒
2
2(
7
−
5
)
+
7
7
12
+
5
−
5
5
12
+
7
⇒
7
−
5
+
12
+
5
−
12
−
7
=0.
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