Question

Solving Square Roots

Answer 1

i hope it must help those who are'nt able to solve the square roots.

Answer 2

n mathematics square root having a significant importance while simplifying the numbers. The square root of a number results in a number which when multiplied with the same number gives the resultant number. To simplify a square root, one should 'group' or 'recognize' those number which have occurred twice or in other words have appeared 2 times as the factors of the number.

Answer 3

HOW TO DO SQUARE ROOTS

The process of obtaining the 'square root' of a number is termed as 'solving' or ' simplification'. While solving square roots, the number is broken down to its factors to obtain the number which satisfies the condition of being the square root of the number.
Before solving, first we need to understand what is a square. The square of any number can be calculated by multiplying the number with itself.

Example 1 :

Square of 2 is 4

so square root of 4 is 2.

Square root of any number is the number which when multiplied with itself gives the original number.


Example 2 :

Square root of 36 is 6

because when we multiply 6 with 6 we get the output as 36.

For solving square root of any number we first need to check if there is any number which multiplied with itself gives the original number. Like 5 when multiplied with 5 gives 25. So the answer is 5. These are the perfect squares of whole numbers. But sometimes we come across with some numbers whose square root is not any whole number.

Example :

Find the square root of 12

We know 12 = 2 x 2 x 3 ,

When we write √12 = 2×2×3−−−−−−−√ = 2√3

So on solving we found the square root of 12 is 2√3.


To solve equations involving radicals, by squaring both sides to undo the square root. If x is variable in the equation then take the square root of both sides of the equation to undo the square on x is called the square root property, if x2 = a, then x = ± a√.

Steps for Solving Square Root Equations:

Step 1: Check whether the equation is of the form x2 = c.

Step 2: Isolate the squared variable term if needed.

Step 3: Solve the variable.

Step 4: Check both the answers in the original equation.

Solved Examples
Question 1: Solve x√ = 4

Solution:

x√ = 4

Squaring both side, we have

(x√)2 = 42

x = 16


Question 2: Solve (2x)2 - 16 = 0

Solution:

(2x)2 - 16 = 0

4x2 - 16 = 0

4x2 = 16

x2 = 164

x2 = 4

x = 4√

x = 2