196
(c)
(d) 256
Find the square root of 676 using prime
factorisation method and the long division
method. Verify that the answer is the same
using each method.
Answers
Answer:
What is the square root of 676?
Between working remotely and working securely, there’s Webex.
What is the square root of 676?
Calculating Square Roots:
To find the square root of a number, we need to find another number that, when multiplied by itself, gives us our original number as an answer. One method of finding square roots is to use some educated guessing and trial and error.
Answer and Explanation:
The square root of 676 is 26.
To find the square root of 676, we are going to use some educated guessing along with some trial and error. We know we are looking for a number y, such that y × y = 676. Our first guess should be a number that is easy to multiply by itself, so we might start with the number 10.
10 × 10 = 100
100 is much less than 676, so our next guess needs to be higher, and we still want to use a number that is easy to multiply by itself, so we might try 20.
20 × 20 = 400
Closer, but still less than 676, so we can try going up by another ten to 30.
30 × 30 = 900
This is larger than 676, so we know √(676) is between 20 and 30. A natural next guess would be right in the middle at 25.
25 × 25 = 625
This is less than 676, so √(676) is between 25 and 30. Furthermore, 676 is much closer to 625 than it is to 900, so √(676) is closer to 25 than it is to 30, so a good next guess would be 26.
26 × 26 = 676
There's our number! Since 26 multiplies by itself to give 676, we have that √(676) is equal to 26.
I hope you got your answer….
Step-by-step explanation:
What is the square root of 676?
Between working remotely and working securely, there’s Webex.
What is the square root of 676?
Calculating Square Roots:
To find the square root of a number, we need to find another number that, when multiplied by itself, gives us our original number as an answer. One method of finding square roots is to use some educated guessing and trial and error.
Answer and Explanation:
The square root of 676 is 26.
To find the square root of 676, we are going to use some educated guessing along with some trial and error. We know we are looking for a number y, such that y × y = 676. Our first guess should be a number that is easy to multiply by itself, so we might start with the number 10.
10 × 10 = 100
100 is much less than 676, so our next guess needs to be higher, and we still want to use a number that is easy to multiply by itself, so we might try 20.
20 × 20 = 400
Closer, but still less than 676, so we can try going up by another ten to 30.
30 × 30 = 900
This is larger than 676, so we know √(676) is between 20 and 30. A natural next guess would be right in the middle at 25.
25 × 25 = 625
This is less than 676, so √(676) is between 25 and 30. Furthermore, 676 is much closer to 625 than it is to 900, so √(676) is closer to 25 than it is to 30, so a good next guess would be 26.
26 × 26 = 676
There's our number! Since 26 multiplies by itself to give 676, we have that √(676) is equal to 26.
I hope you got your answer….