Makakuha ng mga solusyon sa iyong mga katanungan sa Imhr.ca, ang mabilis at tumpak na Q&A platform. Maranasan ang kadalian ng paghahanap ng eksaktong sagot sa iyong mga tanong mula sa isang malawak na komunidad ng mga propesyonal. Maranasan ang kaginhawaan ng paghahanap ng eksaktong sagot sa iyong mga tanong mula sa mga bihasang propesyonal sa aming platform.
Sagot :
The easiest way to find a square root is to use a calculator, but you can do it without one. Here’s one way, using 12 as an example of the squared number:Pick a number that when squared, comes close to (but is less than) the number whose square root you’re finding: 3 × 3 = 9. This is a better choice than 4: 4 × 4 = 16Divide the number you’re finding the square root of (12) by the number you squared (3) in step 1: 12 ÷ 3 = 4Average the closest square root (3) and the answer of step 2 (4): 3 + 4 = 7. 7 ÷ 2 = 3.5Square the average to see how close the number is to 12:3.5 × 3.5 = 12.25—Close, but not close enough!Repeat steps 2 and 3 until the number squared is very close to 12:Divide: 12 ÷ 3.5 = 3.43Average: 3.5 + 3.43 = 6.9356.935 ÷ 2 = 3.4653.465 × 3.465 = 12.006, close enough!
If x is a number, the square root of a number is derived from [tex]x ^{ \frac{1}{2} } [/tex]
1) Without using the calculator, it's not difficult to find the square root if you memorize the perfect square. This is possible with practice.
Example: 4 (2×2), 9 (3×3) , 16 (4×4), 25 (5×5), 36 (6×6), 49 (7×7)
2) If the the radicand is not a perfect square, try breaking it down to its factors, where one of the factors is a perfect square.
Example:
[tex] \sqrt{48} [/tex]
48 is not a perfect square
The factors of 48 are:
12 and 4
16 and 3
8 and 6
Among the set of factors, 16 and 3 are factors where a factor is a perfect square which is 16.
[tex] \sqrt{48} = \sqrt{(16)(3)} [/tex]
[tex] \sqrt{(16)(3)} =4 \sqrt{3} [/tex]
Therefore:
[tex] \sqrt{48} =4 \sqrt{3} [/tex]
3) If the radicand is a prime number, then the radical is in simplified form, unless you are instructed to get the square root using calculator.
4) If the radicand can not be factored in such a way that none of its factors is a perfect square, then the radical number is in simplified form, unless you are instructed to get the square root using the calculator.
5). If the radicand is a negative number, follow item number 2 above, but the factor that is not a perfect square is the negative factor; it is written as imaginary number "i".
Example:
[tex] \sqrt{-48} = \sqrt{(16)(-3)} [/tex]
[tex]4 \sqrt{-3} = 4 \sqrt{3} i[/tex]
1) Without using the calculator, it's not difficult to find the square root if you memorize the perfect square. This is possible with practice.
Example: 4 (2×2), 9 (3×3) , 16 (4×4), 25 (5×5), 36 (6×6), 49 (7×7)
2) If the the radicand is not a perfect square, try breaking it down to its factors, where one of the factors is a perfect square.
Example:
[tex] \sqrt{48} [/tex]
48 is not a perfect square
The factors of 48 are:
12 and 4
16 and 3
8 and 6
Among the set of factors, 16 and 3 are factors where a factor is a perfect square which is 16.
[tex] \sqrt{48} = \sqrt{(16)(3)} [/tex]
[tex] \sqrt{(16)(3)} =4 \sqrt{3} [/tex]
Therefore:
[tex] \sqrt{48} =4 \sqrt{3} [/tex]
3) If the radicand is a prime number, then the radical is in simplified form, unless you are instructed to get the square root using calculator.
4) If the radicand can not be factored in such a way that none of its factors is a perfect square, then the radical number is in simplified form, unless you are instructed to get the square root using the calculator.
5). If the radicand is a negative number, follow item number 2 above, but the factor that is not a perfect square is the negative factor; it is written as imaginary number "i".
Example:
[tex] \sqrt{-48} = \sqrt{(16)(-3)} [/tex]
[tex]4 \sqrt{-3} = 4 \sqrt{3} i[/tex]
Pinahahalagahan namin ang iyong pagbisita. Lagi kaming narito upang mag-alok ng tumpak at maaasahang mga sagot. Bumalik anumang oras. Salamat sa pagpili sa aming plataporma. Kami ay nakatuon sa pagbibigay ng pinakamahusay na mga sagot para sa lahat ng iyong mga katanungan. Bisitahin muli kami. Imhr.ca, ang iyong pinagkakatiwalaang tagasagot. Huwag kalimutang bumalik para sa karagdagang impormasyon.
