Simplify:
(2.275+1.325)-(6125-5.115
Answers
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2
Answer:
Solution :
(i)
(5+
7
–
√
)(2+
5
–
√
)
(5+7)(2+5)
=5(2+
5
–
√
)+
7
–
√
(2+
5
–
√
)
=5(2+5)+7(2+5)
=10+5
5
–
√
+2
7
–
√
+
35
−
−
√
=10+55+27+35
(ii)
(5+
5
–
√
)(5−
5
–
√
)
(5+5)(5-5)
=
(5)
2
−
(
5
–
√
)
2
=(5)2-(5)2
using identity
(a+b)(a−b)=
a
2
−
b
2
(a+b)(a-b)=a2-b2
=25−5=20
=25-5=20
(iii)
(
3
–
√
+
7
–
√
)
2
(3+7)2
=
(
3
–
√
)
2
+
(
7
–
√
)
2
+2(
3
–
√
)(
7
–
√
)
=(3)2+(7)2+2(3)(7)
=3+7+2
21
−
−
√
=3+7+221
=10+2
21
−
−
√
=10+221
(iv)
(
11
−
−
√
−
7
–
√
)(
11
−
−
√
+
7
–
√
)
(11-7)(11+7)
=
(
11
−
−
√
)
2
−
(
7
–
√
)
2
=(11)2-(7)2
=11−7=4
=11-7=4
Step-by-step explanation:
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