How do you extract square roots in scientific notation?

Answer 1

See process and examples below.

In scientific notation numbers are written in the form #x xx10^n#, where #n# is an integer and #x# is in limits #[1,10)# i.e. #1<=x<10#.
Examples#:-#
#53246.6# is written as #5.32466xx10^4# #46870000# is written as #4.687xx10^7# #0.0007925# is written as #7.925xx10^-4# #0.0000213# is writen as #2.13xx10^-5#

To find the square root of these figures

(a) if n is even just take the square root of #x# and #10^n# and multiply them; and
(b) if #n# is odd, mutiply #x# by #10# and reduce #n# by #1# to make it even and then take square root of each and multiply them.

Hence

#sqrt(5.32466xx10^4)=sqrt5.32466xxsqrt(10^4)=2.3075xx10^2# #sqrt(4.687xx10^7)=sqrt46.87xxsqrt(10^6)=6.846xx10^3# #sqrt(7.925xx10^-4)=sqrt(7.925)xxsqrt(10^(-4))=2.815xx10^-2# #sqrt(2.13xx10^-5)=sqrt21.3xxsqrt(10^(-6))=4.625xx10^-3#
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Answer 2

To extract square roots in scientific notation, follow these steps:

  1. Rewrite the number in scientific notation, if necessary, so that the coefficient is between 1 and 10.
  2. Determine the square root of the coefficient.
  3. Divide the exponent of the scientific notation by 2 to find the exponent of the square root.
  4. If the exponent is odd, adjust the coefficient accordingly.
  5. Combine the square root of the coefficient and the adjusted exponent to express the square root in scientific notation.
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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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