Simplify √x² + 4x + 4
Answers
Answered by
3
Step-by-step explanation:
The square root equals
x
+
2
.
Explanation:
First, factor the expression under the radical:
=
√
x
2
+
4
x
+
4
=
√
x
2
+
2
x
+
2
x
+
4
=
√
x
(
x
+
2
)
+
2
x
+
4
=
√
x
(
x
+
2
)
+
2
(
x
+
2
)
=
√
(
x
+
2
)
(
x
+
2
)
=
√
(
x
+
2
)
2
=
x
+
2
That's the simplification. Hope this helped!
Answered by
0
Answer:
x+2
Step-by-step explanation
First, factor the expression under the radical:
= √ x 2 + 4 x + 4
= √ x 2 + 2 x + 2 x + 4
= √ x ( x + 2 ) + 2 x + 4
= √ x ( x + 2 ) + 2 ( x + 2 )
= √ ( x + 2 ) ( x + 2 )
= √ ( x + 2 ) 2
= x + 2
That's the simplification. Hope this helped!
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