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Leya [2.2K]
3 years ago
9

Take a factor out of the square root:

Mathematics
1 answer:
Nat2105 [25]3 years ago
6 0

Answer:

See below.

Step-by-step explanation:

Lets take √72:

Factoring 72 to find perfect squares:

72 = 2*2*2*3*3

The largest perfect square in the above = 2*2*3*3 = 36.

So we can write 72 as 36*2.

√72 = √(36 * 2)

√36 * √2

= 6√2.

One more example:

√18  = √(2*3*3)

= √9*√2

= 3√2.

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