√6(√10 + √15) simplify show all work

2 sqrt(15) + 3 sqrt(10)

Step-by-step explanation:

sqrt(6) * ( sqrt(10)+ sqrt(15))

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We know that sqrt(a) sqrt(b) = sqrt(ab)

sqrt(6) sqrt(10)+  sqrt(6) sqrt(15))

sqrt(60) + sqrt( 90)

sqrt( 4*15) + sqrt(9*10)

We know that sqrt(a) sqrt(b) = sqrt(ab)

sqrt(4) sqrt(15) + sqrt(9) sqrt(10)

2 sqrt(15) + 3 sqrt(10)

≈ 15.5085

Step-by-step explanation:

√6 ≈ 2.45

6 is not a perfect square so its square root is irrational, therefore the decimal form can only be estimated.

√10 ≈ 3.16

The square root of 10 is a single number. That number is irrational, which means that its decimal expansion goes on forever without repeating, and cannot be expressed as a fraction.

√15 ≈ 3.17

This is not simplifiable. But this is approximately what equalled.

2.45(3.16 + 3.17)

= 15.5085

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this