asked 65.0k views
4 votes
Square root of
3a^2/10b^6

Square root of 3a^2/10b^6-example-1
asked
User Atlantic
by
8.4k points

2 Answers

7 votes

Answer:

Explanation:

Rewrite

3

a

2

10

b

6

as

(

a

b

3

)

2

3

10

.

(

a

b

3

)

2

3

10

Pull terms out from under the radical.

a

b

3

3

10

Rewrite

3

10

as

3

10

.

a

b

3

3

10

Combine.

a

3

b

3

10

Multiply

a

3

b

3

10

by

10

10

.

a

3

b

3

10

10

10

Combine and simplify the denominator.

3

10

b

3

10

Simplify the numerator.

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a

30

b

3

10

Move

10

to the left of

b

3

.

a

30

10

b

3

answered
User Azat Razetdinov
by
7.7k points
4 votes

Explanation:


{ \tt{ \sqrt{ \frac{3 {a}^(2) }{10 {b}^(6) } } }} = { \tt{ \frac{ {(3a {}^(2)) }^{ (1)/(2) } }{ {(10b {}^(6) )}^{ (1)/(2) } } }} \\ \\ = { \tt{ \frac{a √(3) }{ {b}^(3) √(10) } }} \\ \\ = { \tt{ \frac{a √(3) }{ {b}^(3) √(10) } }}

answered
User Lumis
by
7.6k points

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