Ashton estimates the square root of 50 in the following way: √50=2 √25=2×5=10.(a) Expkain why his reasoning is incorrect. (b) Estimate the square root of 50 to the nearest tenth without using your calculator. Show your work.

His reasoning is not correct because √50 = √2 × √25 and not 2√25

b) 7.1 to the nearest tenth

Step-by-step explanation:

Using the laws of surds, we know that

√a × √b = √ab

and

a√b = √a² × √b

As such,

√50 = √2 × √25 (since 2 × 25 = 50)

= √2 × 5

= 5√2

= 5 × 1.414 where √2 = 1.414

= 7.07

≈ 7.1 to the nearest tenth

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