The value of -7-6-7-6 is equal to

The correct option is B 1The given expression is nbsp;(√(7)+√(6))(√(7) √(6)) Using identity (a+b)(a b) = a^2 b^2 we can write the above nbsp; (√(7)+√(6 ...

137

You visited us 137 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard IX

Mathematics

Identities for Irrational Numbers

The value of ...

Question

The value of $(\sqrt{7} + \sqrt{6}) (\sqrt{7} - \sqrt{6})$ is equal to

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A 1
The given expression is $(\sqrt{7} + \sqrt{6}) (\sqrt{7} - \sqrt{6})$

Using identity $(a + b) (a - b) = a^{2} - b^{2}$ we can write the above

$(\sqrt{7} + \sqrt{6}) (\sqrt{7} - \sqrt{6}) = (\sqrt{7})^{2} - (\sqrt{6})^{2}$
= $7 - 6 = 1$

Suggest Corrections

Similar questions

Q. The value of

7 \times (6 \times 5)

is equal to

Q. The value of

\frac{1}{\sqrt{9} - \sqrt{8}} - \frac{1}{\sqrt{8} - \sqrt{7}} + \frac{1}{\sqrt{7} - \sqrt{6}} - \frac{1}{\sqrt{6} - \sqrt{5}} + \frac{1}{\sqrt{5} - \sqrt{4}}

is equal to

Q. If the value of

6^{x} \times 6^{5} \times 6^{- 7}

is equal to

6^{- 4}

, the value of x is ______

Q. The value of

800 + 6 - 80 \times 70 \div 7

is equal to

The value of ${\frac{(- 7)}{(7^{6})}}^{6}$ is:

Join BYJU'S Learning Program

The value of (√7+√6)(√7−√6) is equal to

The correct option is A 1The given expression is (√7+√6)(√7−√6) Using identity (a+b)(a−b)=a2−b2 we can write the above (√7+√6)(√7−√6)=(√7)2−(√6)2 = 7−6=1

The value of $(\sqrt{7} + \sqrt{6}) (\sqrt{7} - \sqrt{6})$ is equal to

The correct option is A 1
The given expression is $(\sqrt{7} + \sqrt{6}) (\sqrt{7} - \sqrt{6})$

Using identity $(a + b) (a - b) = a^{2} - b^{2}$ we can write the above

$(\sqrt{7} + \sqrt{6}) (\sqrt{7} - \sqrt{6}) = (\sqrt{7})^{2} - (\sqrt{6})^{2}$
= $7 - 6 = 1$