If 13-a 10-8-5- then a-a -5b -6c -4d -2

Given that: We need to find a The given expression can be simplified by taking square on both sides nbsp; The irrational terms on right side can be facto ...

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

Byju's Answer

Standard X

Mathematics

Irrational Numbers

If 13-a 10=8+...

Question

If $\sqrt{13 - a \sqrt{10}} = \sqrt{8} + \sqrt{5}, then a =$

(a) −5

(b) −6

(c) −4

(d) −2

Open in App

Solution

Given that:

We need to find a

The given expression can be simplified by taking square on both sides

The irrational terms on right side can be factorized such that it of the same form as left side terms.

Hence,

On comparing rational and irrational terms, we get.Therefore, correct choice is .

Suggest Corrections

Similar questions

Q. Let

a_{1}, a_{2}, \dots, a_{10}

be in A.P. and

h_{1}, h_{2}, \dots, h_{10}

be in H.P. If

a_{1} = h_{1} = 2

and

a_{10} = h_{10} = 3

, then

a_{4} h_{7}

is:

If the point P(5, k-2) lies on the line $x - 2 y + 1 = 0$ , then find the value of k.

Q. If

| \to A | = 2, | \to B | = 5

and

| \to A \times \to B | = 8

. Angle between

A

and

B

is acute, then

\to A . \to B

Solve for $x$ : $3 x - 5 = 13$

13. If x is an integer and y = 3x + 2, which of the following CANNOT be a divisor of y?

Join BYJU'S Learning Program

If 13-a10=8+5, then a= (a) −5 (b) −6 (c) −4 (d) −2

Given that: We need to find a The given expression can be simplified by taking square on both sides The irrational terms on right side can be factorized such that it of the same form as left side terms. Hence, On comparing rational and irrational terms, we get.Therefore, correct choice is .

If $\sqrt{13 - a \sqrt{10}} = \sqrt{8} + \sqrt{5}, then a =$

(a) −5

(b) −6

(c) −4

(d) −2

Given that:

We need to find a

The given expression can be simplified by taking square on both sides

The irrational terms on right side can be factorized such that it of the same form as left side terms.

Hence,

On comparing rational and irrational terms, we get.Therefore, correct choice is .