The product of a rational number multiplied by itself is called as a perfect square.,we can easily find out the square root for a number which is a imperfect square
Step-by-step explanation:
using the following formula we can find a square root for a number which is a imperfect square
X = Non perfect square
√x = (square root of nearest lower perfect square +(x - perfect square)÷2×(√perfect square )
Example
√38
the nearest perfect root is 36
36 (√36=6)
so √38 = √36 + (38-36)/2√36
= 6 + 2/12
=6 + 1/6 = 6.166 (answer)
Answer:
Degree: 3
Leading Coefficient: 12
Step-by-step explanation:
Find the highest power to determine the degree, in this case it's 3. Then identify the term with the highest power (12u^3) to find the leading coefficient.
So, because 3 is the largest and only power in this equation, it is the degree. 12u^3 is the leading term (term containing the highest degree) and 12 is the coefficient attatched to the term. Hope that helped!
Answer:
<h2><u>STEPS</u></h2>
-
Step I: Obtain the given number.
- Step II: Resolve the given number into prime factors by successive division.
- Step III: Make pairs of prime factors such that both the factors in each pair are equal. Since the number is a perfect square, you will be able to make an exact number of pairs of prime factors.
- Step IV: Take one factor from each pair.
- Step V: Find the product of factors obtained in step IV.
- Step VI: The product obtained in step V is the required square root.
<h2><u>Example </u></h2>
<u>
Find the square root of 324</u>
- 324 = 2 x 162
- = 2 x 2 x 81
- = 2 x 2 x 3 x 27
- = 2 x 2 x 3 x 3 x 9
- = 2 x 2 x 3 x 3 x 3 x 3
- ∴ √324 = √( 2 x 2 x 3 x 3 x 3 x 3 )
- √324 = 2 x 3 x 3
- √324 = 18
