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Let’s check out your problem:
Evaluate the algebraic expression:
\newline
2
67
−
2
(
y
+
6
)
for
y
=
3
2 \sqrt{67-2(y+6)} \quad \text { for } \mathrm{y}=3
2
67
−
2
(
y
+
6
)
for
y
=
3
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Math Problems
Precalculus
Solve radical equations
Full solution
Q.
Evaluate the algebraic expression:
\newline
2
67
−
2
(
y
+
6
)
for
y
=
3
2 \sqrt{67-2(y+6)} \quad \text { for } \mathrm{y}=3
2
67
−
2
(
y
+
6
)
for
y
=
3
Plug
y
=
3
y=3
y
=
3
:
Plug
y
=
3
y=3
y
=
3
into the expression.
2
67
−
2
(
3
+
6
)
2\sqrt{67-2(3+6)}
2
67
−
2
(
3
+
6
)
Simplify inside the parentheses:
Simplify inside the parentheses.
2
67
−
2
(
9
)
2\sqrt{67-2(9)}
2
67
−
2
(
9
)
Multiply and subtract:
Multiply
2
2
2
by
9
9
9
.
2
67
−
18
2\sqrt{67-18}
2
67
−
18
Find
square root
:
Subtract
18
18
18
from
67
67
67
.
2
49
2\sqrt{49}
2
49
Multiply by
2
2
2
:
Find the square root of
49
49
49
.
2
×
7
2\times7
2
×
7
Final result:
Multiply
2
2
2
by
7
7
7
.
\newline
14
14
14
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\newline
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\newline
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\newline
9
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\newline
4
p
=
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+
3
p
\sqrt{4p} = \sqrt{10 + 3p}
4
p
=
10
+
3
p
\newline
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=
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=
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