4×(√3 + √4)2 + 6(√5 +√6)2 -3(√2 + √3)2 =? a) 167 b) 123 c) 157 d) 153 e) 149

4×(√3 + √4)2 + 6(√5 +√6)2 -3(√2 + √3)2 =?
a) 167
b) 123
c) 157
d) 153
e) 149
by

1 Answer

Answer :

? =4(3+4+2√12) + 6(5+6+2√30)-3(2+3+2√6)
=4(7+2√12)+6(11+2√30)-3(5+2√6)
=28 + 8√12 + 66 + 12√30 – 15 - 6√6
=(28+66-15) + (8√12+12√30-6√6)
=79 + (8√4 × 3 + 12√30 - 6√6)
=79+16√3 + 12√30 - 6√6
=79 + 16 ×1.7 + 12 × 5.4 – 6 ×2.4
=79+27.2 + 64.8-14.4 = 156.6 = 157
Answer: c)
by

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