# Find the square root of 49 from the options available:

A. 17

B. 7

C. -27

D. -17

Answer

Verified

327k+ views

Hint: In order to solve this problem we need to factorize 49 then we have to take the square root of it. Doing this will solve the problems.

Complete step-by-step answer:

We have to find the square root of 49.

We know 49 can be written as 49 = 7x7=${7^2}$

So, after taking square root of it we get$\sqrt {49} = \sqrt {{7^2}} $

Square root means nothing but the number raised to the power $\dfrac{1}{2}$ (Example $\sqrt a = {a^{\dfrac{1}{2}}}$)

So, $\sqrt {49} = $$\sqrt {{7^2}} = {7^{2{\text{x}}\dfrac{1}{2}}} = {7^1} = 7$

Therefore the square root of 49 is 7.

So, the correct option is B.

Note: Whenever you face such types of problems of finding the square root of a number. Then try to factorize that number such that numbers are in pairs of two, those numbers will be written outside the square root and the numbers which are not is pair of two those numbers will be written inside the root as square root of a number is nothing but a number raised to the power $\dfrac{1}{2}$. Proceeding like this will give you the right solution.

Complete step-by-step answer:

We have to find the square root of 49.

We know 49 can be written as 49 = 7x7=${7^2}$

So, after taking square root of it we get$\sqrt {49} = \sqrt {{7^2}} $

Square root means nothing but the number raised to the power $\dfrac{1}{2}$ (Example $\sqrt a = {a^{\dfrac{1}{2}}}$)

So, $\sqrt {49} = $$\sqrt {{7^2}} = {7^{2{\text{x}}\dfrac{1}{2}}} = {7^1} = 7$

Therefore the square root of 49 is 7.

So, the correct option is B.

Note: Whenever you face such types of problems of finding the square root of a number. Then try to factorize that number such that numbers are in pairs of two, those numbers will be written outside the square root and the numbers which are not is pair of two those numbers will be written inside the root as square root of a number is nothing but a number raised to the power $\dfrac{1}{2}$. Proceeding like this will give you the right solution.

Last updated date: 03rd Jun 2023

â€¢

Total views: 327k

â€¢

Views today: 4.83k

Recently Updated Pages

If a spring has a period T and is cut into the n equal class 11 physics CBSE

A planet moves around the sun in nearly circular orbit class 11 physics CBSE

In any triangle AB2 BC4 CA3 and D is the midpoint of class 11 maths JEE_Main

In a Delta ABC 2asin dfracAB+C2 is equal to IIT Screening class 11 maths JEE_Main

If in aDelta ABCangle A 45circ angle C 60circ then class 11 maths JEE_Main

If in a triangle rmABC side a sqrt 3 + 1rmcm and angle class 11 maths JEE_Main

Trending doubts

Difference Between Plant Cell and Animal Cell

Write an application to the principal requesting five class 10 english CBSE

Ray optics is valid when characteristic dimensions class 12 physics CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Write the 6 fundamental rights of India and explain in detail

Write a letter to the principal requesting him to grant class 10 english CBSE

List out three methods of soil conservation

Fill in the blanks A 1 lakh ten thousand B 1 million class 9 maths CBSE

Epipetalous and syngenesious stamens occur in aSolanaceae class 11 biology CBSE