monai2005
15.09.2019 •
Mathematics
Simplify the following surds :
1) 2√21 × √27 ÷ √343
2) 7√5 × √125 ÷ 2√27
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Ответ:
1)
2)
Step-by-step explanation:
* Lets explain how to simplify a square root
1)
∵
× 
÷ 
∵
× 
∴
= 
× 
∵
= 
× 
× 
∵
× 
= 3
∴
= 
∴
× 
=
∵
× 
= 3
∵ 2 × 3 × 3 = 18
∴
× 
= 
∵
= 
× 
× 
∵
× 
= 7
∴
= 
∵
× 
÷ 
=
∵
÷ 
= 1
∴
× 
÷ 
=
2)
∵
× 
÷ 
∵
= 
× 
× 
∵
× 
= 5
∴
= 
∴
× 
=
∵
× 
= 5
∴
× 
= 7 × 5 × 5 = 175
∵
= 
× 
× 
∵
× 
= 3
∴
= 
∴
× 
÷ 
=
175 ÷
= 
∵
not in the simplest form because
the denominator has square root
∴ Multiply up and down by
∴
= 
∴
= 
∴
× 
÷ 
=
Ответ:
True.
Step-by-step explanation: