CPM Homework Help : CCA2 Problem 2-115

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2-115.

Write each expression below in simplest radical form.

$\sqrt { 75 } + \sqrt { 27 }$
Hint (a):
Factor using perfect squares.
More Help (a):
$\sqrt{25\cdot3}+\sqrt{9\cdot3}=5\sqrt{3}+3\sqrt{3}$
Combine like terms if possible.

$\sqrt { x } + 2 \sqrt { x }$
Hint (b):
Combine like terms.

$( \sqrt { 12 } ) ^ { 2 }$
Hint (c):
Squaring is the inverse operation for square root.

$( 3 \sqrt { 12 } ) ^ { 2 }$
Hint (d):
Rewrite the expression: $(3\sqrt{12})^2=(3)^2(\sqrt{12})^2$
More Help (d):
See part (c).

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