How do you simplify #sqrt( 3/10) *sqrt(5/8)#?

Answer 1

#sqrt 3/4#
or #0.433#

#sqrt (3/10).sqrt (5/8)#

Since both fractions are square roots, therefore, taking both fractions under the same root sign

#sqrt (3/10. 5/8)# or simplifying we obtain #sqrt (3/cancel10_2. cancel5^1/8)# #=sqrt (3/2. 1/8)# Multiplying the numerators and denominators respectively #=sqrt (3/16)# Now we know that #sqrt 16=4#, we obtain #=sqrt 3/4# Inserting the value of #sqrt 3=1.732# in the numerator and dividing with the denominator, we obtain
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Answer 2

# 1/4 sqrt3 #

Using the following :

# • sqrta xx sqrtb = sqrtab hArr sqrtab = sqrta xx sqrtb #
# sqrt( 3/10). sqrt(5/8) = sqrt(3/10 xx 5/8) = sqrt(15/80 #
# = sqrt(3/16) = sqrt3/sqrt16 = sqrt3/4 =1/4 sqrt3 #
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Answer 3

To simplify the expression sqrt(3/10) * sqrt(5/8), you can multiply the numbers under the square roots together and simplify the result.

sqrt(3/10) * sqrt(5/8) = sqrt((3/10) * (5/8)) = sqrt(15/80) = sqrt(3/16) = sqrt(3)/sqrt(16) = sqrt(3)/4.

Therefore, the simplified expression is sqrt(3)/4.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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