Discussion
Simplify.
\(\sqrt{\sqrt{0.04}+\sqrt{0.0009}+\sqrt{1.44}+\sqrt{0.0001}}\)
Answer: C
The value is 1.2.
Work from the inside: √0.04 = 0.2, √0.0009 = 0.03, √1.44 = 1.2 and √0.0001 = 0.01. Their sum is 1.44.
\[ \sqrt{0.2+0.03+1.2+0.01}=\sqrt{1.44}=1.2 \]
1, 1.1 and 1.3 do not equal the square root of 1.44.
The inside roots are all perfect squares of decimals, 0.2 × 0.2 = 0.04, 0.03 × 0.03 = 0.0009, 1.2 × 1.2 = 1.44 and 0.1 × 0.1 = 0.01 (so the root of 0.0001 is 0.01). Their sum is 1.44, and 1.2 × 1.2 is 1.44, which gives the answer.
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