Question

prove 4underroot7 is irrational

Answer 1

Hiii friend,

If Possible let 4✓7 is rational Number.

4 is rational and ✓7 is irrational.

1/4 × 4✓7

=> ✓7 is rational [ Product of rational is rationa]

But this contradicts the fact that ✓7 is irrational.

This contradiction arises by assuming that ✓7 is RATIONAL.

Hence,

4✓7 is irrational.

HOPE IT WILL HELP YOU...... :-)