The Positive Square Root of 7 + √ 48 is - Mathematics

MCQ

The positive square root of $7 + \sqrt{48}$ is

Options

• $7 + 2\sqrt{3}$

• $7 + \sqrt{3}$

• $\sqrt{3}+2$

• $3 + \sqrt{2}$

Solution

Given that:7 +sqrt48.To find square root of the given expression we need to rewrite the expression in the form  a^2 +b^2 +2ab = (a+b)^2

7 +sqrt48  = 3+4+2xx2xxsqrt3

 = (sqrt3)^2 + (2)^2 +2 xx 2xx xxsqrt3

= (sqrt3 + 2 )^2

Hence the square root of the given expression is sqrt3+2

Concept: Laws of Exponents for Real Numbers
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APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 3 Rationalisation
Exercise 3.4 | Q 23 | Page 18

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