-4-3- -4-3- nbsp-1273

The correct options are A 1 B 2We know that We know( a+ b) (a b ) = a^2 b^2 Hence (√(a)+√(b))× (√(a) √(b))=a b So, nbsp;(√(4)+√(3))× (√(4) √(3))=4 3 =1 ...

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Byju's Answer

Standard IX

Mathematics

Rationalization of an Irrational Number

(√(4)+√(3))× ...

Question

$(\sqrt{4} + \sqrt{3}) \times (\sqrt{4} - \sqrt{3}) =$

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Solution

The correct options are
A 1
B 2
We know that
We know $(a + b) (a - b) = a^{2} - b^{2}$
Hence $(\sqrt{a} + \sqrt{b}) \times (\sqrt{a} - \sqrt{b}) = a - b$
So, $(\sqrt{4} + \sqrt{3}) \times (\sqrt{4} - \sqrt{3}) = 4 - 3$
$= 1$

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Similar questions

Q. Observe the following pattern

(1 \times 2) + (2 \times 3) = \frac{2 \times 3 \times 4}{3}

(1 \times 2) + (2 \times 3) + (3 \times 4) = \frac{3 \times 4 \times 5}{3}

(1 \times 2) + (2 \times 3) + (3 \times 4) + (4 \times 5) = \frac{4 \times 5 \times 6}{3}

and find the value of
(1 × 2) + (2 × 3) + (3 × 4) + (4 × 5) + (5 × 6)

Reciprocal of $\frac{- 3}{4}$ is

(a) $\frac{4}{3}$

(b) $\frac{3}{4}$

(d) 0

Q. Solve:

\frac{4 + \sqrt{3}}{4 - \sqrt{3}} + \frac{4 - \sqrt{3}}{4 + \sqrt{3}}

Q. Solve

\frac{\sqrt{3 + 4 ı} + \sqrt{3 - 4 ı}}{= \sqrt{3 + 4 ı} - \sqrt{3 - 4 ı}}

Q. Locate the points:
(i) (1, 1), (1, 2), (1, 3), (1, 4)
(ii) (2, 1), (2, 2), (2, 3), (2, 4)
(iii) (1, 3), (2, 3), (3, 3), (4, 3)
(iv) (1, 4), (2, 4), (3, 4), (4, 4).

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(√4+√3)×(√4−√3)=

The correct options are A 1 B 2We know that We know(a+b)(a−b)=a2−b2 Hence (√a+√b)×(√a−√b)=a−b So, (√4+√3)×(√4−√3)=4−3 =1

$(\sqrt{4} + \sqrt{3}) \times (\sqrt{4} - \sqrt{3}) =$

The correct options are
A 1
B 2
We know that
We know $(a + b) (a - b) = a^{2} - b^{2}$
Hence $(\sqrt{a} + \sqrt{b}) \times (\sqrt{a} - \sqrt{b}) = a - b$
So, $(\sqrt{4} + \sqrt{3}) \times (\sqrt{4} - \sqrt{3}) = 4 - 3$
$= 1$