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Simplify.
Remove all perfect squares from inside the square root.
[tex]\sqrt{63}[/tex]

Sagot :

LittleAngel36idn

Answer:

[tex]3 \sqrt{7} [/tex]

Step-by-step explanation:

1) Rewrite 63 as its prime factors.

[tex] \sqrt{3 \times 3 \times 7} [/tex]

2) Group the same prime factors into pairs.

[tex] \sqrt{(3 \times 3) \times 7} [/tex]

3) Rewrite each pair in exponent form.

[tex] \sqrt{ {3}^{2} \times 7 } [/tex]

3) Use this rule

[tex] \sqrt{ {x}^{2} } = x[/tex]

[tex]3 \sqrt{7} [/tex]

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