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Sliva [168]
3 years ago
6

Rewrite 36 as a product of two square roots of perfect squares

Mathematics
1 answer:
inysia [295]3 years ago
8 0

\sqrt{36}\\=\sqrt{4}.\sqrt{9}\\=\sqrt{(2)^2}.\sqrt{(3)^2}

Step-by-step explanation:

We need to rewrite 36 as product of two square roots of perfect squares.

36 can be written as product of 2 numbers as:

36 = 2 \times 18\\36 = 3 \times 12\\36 = 4 \times 9\\36 = 6 \times 6

From above we found that only 4 X 9 are square root of perfect squares

So,

\sqrt{36}\\=\sqrt{4}.\sqrt{9}\\=\sqrt{(2)^2}.\sqrt{(3)^2}

Learn More:

brainly.com/question/5194236

brainly.com/question/9762331

Keyword: Square root, perfect squares

#learn with brainly

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