Question: \(\sqrt{4.8*10^9}\) is closest in value to

(A) 2,200
(B) 70,000
(C) 220,000
(D) 7,000,000
(E) 22,000,000

“(4.8*10^9)^(1/2) is closest in value to” - is a topic of the GMAT Quantitative reasoning section of GMAT. To solve GMAT Problem Solving questions a student must have knowledge about a good number of qualitative skills. GMAT Quant section consists of 31 questions in total. The GMAT quant topics in the problem-solving part require calculative mathematical problems that should be solved with proper mathematical knowledge.

Solutions and Explanation

Approach Solution : 1

Given a value of √(4.8 x 10^9). we must choose the answer that is closest in value.

The expression is first made simpler by removing the decimal point in 4.8. To accomplish this, we can reduce 10^9 to 10^8 and move the decimal one place to the right to get 48.
Therefore, we must estimate √(48 x 10^8).
Take note of the fact that the numbers 48 and 49 form a perfect square.

Also take note that since the exponent is now an even number, it is simple to calculate the square root of 10^8.

So let us find √(48 x 10^8)
√(49 x 10^8)
√(49) x √(10^8)
7 x 10^4
70,000

Therefore, √(4.8 x 10^9) ≈ 70,000.

Correct Answer: (B)

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