Evaluate 10 square root of 21000/10000

Problem

10√(,21000/10000)

Solution

1. Simplify the fraction inside the square root by dividing both the numerator and the denominator by 1000

10√(,21/10)

2. Apply the quotient property of square roots to separate the numerator and the denominator.

10⋅√(,21)/√(,10)

3. Rationalize the denominator by multiplying both the numerator and the denominator by √(,10)

10⋅(√(,21)⋅√(,10))/(√(,10)⋅√(,10))

4. Simplify the expression by performing the multiplication in the numerator and the denominator.

10⋅√(,210)/10

5. Cancel the common factor of 10 from the numerator and the denominator.

√(,210)

Final Answer

10√(,21000/10000)=√(,210)

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