The value of the expression -1-23-1-24-1-25-26-28-1 is equal to

The correct option is A 24 √(1+23√(1+24√(1+25√(26× 28+1)))) ⇒√(1+23√(1+24√(1+25√(729)))) ⇒√(1+23√(1+24√(1+25× 27))) ⇒ nbsp; √(1+23√( ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Mathematics

Quadratic Formula for Finding Roots

The value of ...

Question

The value of the expression
$\sqrt{1 + 23 \sqrt{1 + 24 \sqrt{1 + 25 \sqrt{26 \times 28 + 1}}}}$ is equal to

24

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

25

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

26

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

28

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

Open in App

Solution

The correct option is A $24$
$\sqrt{1 + 23 \sqrt{1 + 24 \sqrt{1 + 25 \sqrt{26 \times 28 + 1}}}}$
$\Rightarrow \sqrt{1 + 23 \sqrt{1 + 24 \sqrt{1 + 25 \sqrt{729}}}}$
$\Rightarrow \sqrt{1 + 23 \sqrt{1 + 24 \sqrt{1 + 25 \times 27}}}$
$\Rightarrow \sqrt{1 + 23 \sqrt{1 + 24 \sqrt{676}}}$
$\Rightarrow \sqrt{1 + 23 \sqrt{1 + 24 \times 26}}$
$\Rightarrow \sqrt{1 + 23 \sqrt{625}}$
$\Rightarrow \sqrt{1 + 23 \times 25}$
$\Rightarrow \sqrt{1 + 23 \times 25} \Rightarrow \sqrt{576} \Rightarrow 24$

Suggest Corrections

Similar questions

$\frac{1}{2} + \frac{1}{2^{2}} + \frac{1}{2^{3}} + \frac{1}{2^{4}} + \frac{1}{2^{5}} + \frac{1}{2^{6}} + \frac{1}{2^{7}} + \frac{1}{2^{8}} + \frac{1}{2^{9}}$ =___

Q. A bimodal data set is given as follows:

$23$	$24$	$25$	$26$	$27$	$23$	$24$
$25$	$28$	$24$	$29$	$19$	$20$	$x$

What is the possible value of

x

Q. Find mean of the following data.

$2 + 2^{2} + 2^{3} + 2^{4} + 2^{5} + 2^{6} + 2^{7} + 2^{8} + 2^{9} + 2^{10} + 2^{11}$ =___

Q. The marks of

10

students are given as

25, 24, 26, 26, 28, 28, 22, 24, 25, 22

. This data set is said to have (no mode / bimode / trimode / one mode)

Join BYJU'S Learning Program

The value of the expression√1+23√1+24√1+25√26×28+1 is equal to

The correct option is A 24√1+23√1+24√1+25√26×28+1⇒√1+23√1+24√1+25√729⇒√1+23√1+24√1+25×27⇒√1+23√1+24√676⇒√1+23√1+24×26⇒√1+23√625⇒√1+23×25⇒√1+23×25⇒√576⇒24

The value of the expression
$\sqrt{1 + 23 \sqrt{1 + 24 \sqrt{1 + 25 \sqrt{26 \times 28 + 1}}}}$ is equal to