Draw a number line (l) and mark the points O, A, B and C such that OA = AB = BC = 1
Draw CD ⊥ l, such that CD = 1 units.
Join OC
In right ΔOCD,
OD2 = OC2 + CD2
Taking O as centre and D as radius, draw an arc which cuts l in F
Now, draw EF ⊥ l, such that EF = 1 units
Join OE'
In right ΔOEF,
OE2 = OF2 + EF2
Taking O as centre and OE as radius, draw an arc which cuts l in H
Now, draw GH ⊥ l, such that GH = 1 units
Join OG
In right ΔOGH,
Taking O as centre and OG as radius, draw an arc which cuts l in J.
Now, draw IJ ⊥ l, such that IJ = 1 units
Join OI,
In right ΔOIJ,
Taking O as centre and OI as radius, draw an arc which cuts l in L.
The point L represents on the number line.
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The radical symbol ( √ ) followed by a line above what's in the radical, designates positive square root.
i do not know how to do it please tell me how to do it
Negative square root is -√Square root of negative one is i.
When dealing with real numbers, you cannot take the square root of a negative number. The concept of the imaginary number was created to handle the square root of a negative number.That's almost like saying "when dealing with numbers bigger than 10, you cannot take the square root of 4. If what you are dealing with does not represent a number, then you cannot find its square root.
Hope that you have understood how to represent root 5 on the number line. For reference go figure given below the first video in this lesion. Now, draw CB ⊥ AB and CB = 1 unit (as shown in first video). Now, join OC. The length of OC is root 6. At C, DC ⊥ AB. Join OD. Taking O as centre and OD as radius draw an arc that intersects the number line Q .Here, OD = OQ = root 7.Now, Q is the point on the number line that represents the number root 7.