Mathematics: What values of a and b make the equation true? √648 = √2a.3b

What values of a and b make the equation true? - id643140221, glocurlsprinces

Ответ:

tae8002001

06.01.2022

We have:

648 : 2 = 324 (even number)
324 : 2 = 162 (even number)
162 : 2 = 81 (odd number)
81 : 3 = 27 (odd number)
27 : 3 = 9 (odd number)
9 : 3 = 3 (odd number)
3 : 3 = 1

So a = 3 and b = 4 - answer C.

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Ответ:

chiarag305

06.01.2022

Mathematics

Option (c) is correct.

a = 3 and b = 4

Step-by-step explanation:

Given : $\sqrt{648}=\sqrt{2^a\cdot3^b}$

We have to find the values of a and b and choose the correct options from the given options.

Consider $\sqrt{648}$

We first factorize 648 that is writing 648 as products of its prime factors.

648 can be written as 8 × 81

breaking 8 as product of 2 and 81 as product of 3.

We get,

$684=2^3\times 3^4$

Also,

$\sqrt{648}=\sqrt{2^3\cdot3^4}$

Thus, a = 3 and b = 4

Option (c) is correct.

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Ответ:

glocurlsprinces

02.05.2023

Mathematics

156 students voted for ben

Step-by-step explanation:

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What values of a and b make the equation true? √648 = √2a.3b

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