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a) write √3×√6 in the form of b√2 where b is the insteger

b) simplify √8×√18


Sagot :

Step-by-step explanation:

a.) the given term can be written as

=

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

=

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

=

[tex]3 \sqrt{2} [/tex]

hence the given term is

[tex]3 \sqrt{2} [/tex]

where b = 3

b.)

=

[tex] \sqrt{8} \times \sqrt{18} [/tex]

=

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

=

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

=

[tex]12[/tex]

hence the given term is 12

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