simplify (2 root5 + 3 root2) 2
Answers
Answered by
0
Answer:
Rewrite
(
2
√
5
+
3
√
7
)
2
as
(
2
√
5
+
3
√
7
)
(
2
√
5
+
3
√
7
)
.
(
2
√
5
+
3
√
7
)
(
2
√
5
+
3
√
7
)
Expand
(
2
√
5
+
3
√
7
)
(
2
√
5
+
3
√
7
)
using the FOIL Method.
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2
√
5
(
2
√
5
)
+
2
√
5
(
3
√
7
)
+
3
√
7
(
2
√
5
)
+
3
√
7
(
3
√
7
)
Simplify and combine like terms.
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Simplify each term.
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20
+
6
√
35
+
6
√
35
+
63
Add
20
and
63
.
83
+
6
√
35
+
6
√
35
Add
6
√
35
and
6
√
35
.
83
+
12
√
35
The result can be shown in multiple forms.
Exact Form:
83
+
12
√
35
Decimal Form:
153.99295739
…
Step-by-step explanation:
Answered by
2
Answer:
38+12√10
Step-by-step explanation:
by identity (a+b)² = a² + 2ab + b²
(2√5 + 3√2)² = (2√5)² + 2×2√5×3√2 + (3√2)²
= 20 + 12√10 + 18
= 38 + 12√10
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